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Finding the Third Proportional to 66,029 and 142,581

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Solution

The third proportional to 66,029 and 142,581 is: 307,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,029 : 142,581 = 142,581 : x
  2. Step 2: Convert to fraction form
    66,029/142,581 = 142,581/x
  3. Step 3: Cross multiply
    66,029x = 142,581 × 142,581
  4. Step 4: Simplify right side
    66,029x = 20,329,341,561
  5. Step 5: Solve for x
    x = 20,329,341,561/66,029
  6. Step 6: Final answer
    x = 307,885.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.