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Finding the Third Proportional to 59,080 and 129,643

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Solution

The third proportional to 59,080 and 129,643 is: 284,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,080 : 129,643 = 129,643 : x
  2. Step 2: Convert to fraction form
    59,080/129,643 = 129,643/x
  3. Step 3: Cross multiply
    59,080x = 129,643 × 129,643
  4. Step 4: Simplify right side
    59,080x = 16,807,307,449
  5. Step 5: Solve for x
    x = 16,807,307,449/59,080
  6. Step 6: Final answer
    x = 284,483.88

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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.