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Finding the Third Proportional to 142,912 and 313,472

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Solution

The third proportional to 142,912 and 313,472 is: 687,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,912 : 313,472 = 313,472 : x
  2. Step 2: Convert to fraction form
    142,912/313,472 = 313,472/x
  3. Step 3: Cross multiply
    142,912x = 313,472 × 313,472
  4. Step 4: Simplify right side
    142,912x = 98,264,694,784
  5. Step 5: Solve for x
    x = 98,264,694,784/142,912
  6. Step 6: Final answer
    x = 687,588.83

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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.