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Finding the Third Proportional to 142,074 and 220,581

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Solution

The third proportional to 142,074 and 220,581 is: 342,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074 : 220,581 = 220,581 : x
  2. Step 2: Convert to fraction form
    142,074/220,581 = 220,581/x
  3. Step 3: Cross multiply
    142,074x = 220,581 × 220,581
  4. Step 4: Simplify right side
    142,074x = 48,655,977,561
  5. Step 5: Solve for x
    x = 48,655,977,561/142,074
  6. Step 6: Final answer
    x = 342,469.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.