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Finding the Third Proportional to 142,724 and 213,681

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Solution

The third proportional to 142,724 and 213,681 is: 319,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,724 : 213,681 = 213,681 : x
  2. Step 2: Convert to fraction form
    142,724/213,681 = 213,681/x
  3. Step 3: Cross multiply
    142,724x = 213,681 × 213,681
  4. Step 4: Simplify right side
    142,724x = 45,659,569,761
  5. Step 5: Solve for x
    x = 45,659,569,761/142,724
  6. Step 6: Final answer
    x = 319,915.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.