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Finding the Third Proportional to 142,342 and 329,487

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Solution

The third proportional to 142,342 and 329,487 is: 762,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,342 : 329,487 = 329,487 : x
  2. Step 2: Convert to fraction form
    142,342/329,487 = 329,487/x
  3. Step 3: Cross multiply
    142,342x = 329,487 × 329,487
  4. Step 4: Simplify right side
    142,342x = 108,561,683,169
  5. Step 5: Solve for x
    x = 108,561,683,169/142,342
  6. Step 6: Final answer
    x = 762,682.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.