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Finding the Third Proportional to 298,407,380,749.50 and 649,098,822,105

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Solution

The third proportional to 298,407,380,749.50 and 649,098,822,105 is: 1,411,926,473,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,407,380,749.50 : 649,098,822,105 = 649,098,822,105 : x
  2. Step 2: Convert to fraction form
    298,407,380,749.50/649,098,822,105 = 649,098,822,105/x
  3. Step 3: Cross multiply
    298,407,380,749.50x = 649,098,822,105 × 649,098,822,105
  4. Step 4: Simplify right side
    298,407,380,749.50x = 421,329,280,858,098,466,029,568
  5. Step 5: Solve for x
    x = 421,329,280,858,098,466,029,568/298,407,380,749.50
  6. Step 6: Final answer
    x = 1,411,926,473,801.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.