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Finding the Third Proportional to 298,926,991.13 and 420,771,640.78

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Solution

The third proportional to 298,926,991.13 and 420,771,640.78 is: 592,280,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,926,991.13 : 420,771,640.78 = 420,771,640.78 : x
  2. Step 2: Convert to fraction form
    298,926,991.13/420,771,640.78 = 420,771,640.78/x
  3. Step 3: Cross multiply
    298,926,991.13x = 420,771,640.78 × 420,771,640.78
  4. Step 4: Simplify right side
    298,926,991.13x = 177,048,773,685,745,280
  5. Step 5: Solve for x
    x = 177,048,773,685,745,280/298,926,991.13
  6. Step 6: Final answer
    x = 592,280,988.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.