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Finding the Third Proportional to 312,126 and 683,724

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Solution

The third proportional to 312,126 and 683,724 is: 1,497,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,126 : 683,724 = 683,724 : x
  2. Step 2: Convert to fraction form
    312,126/683,724 = 683,724/x
  3. Step 3: Cross multiply
    312,126x = 683,724 × 683,724
  4. Step 4: Simplify right side
    312,126x = 467,478,508,176
  5. Step 5: Solve for x
    x = 467,478,508,176/312,126
  6. Step 6: Final answer
    x = 1,497,723.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.