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Finding the Third Proportional to 59,319 and 129,581

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Solution

The third proportional to 59,319 and 129,581 is: 283,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,319 : 129,581 = 129,581 : x
  2. Step 2: Convert to fraction form
    59,319/129,581 = 129,581/x
  3. Step 3: Cross multiply
    59,319x = 129,581 × 129,581
  4. Step 4: Simplify right side
    59,319x = 16,791,235,561
  5. Step 5: Solve for x
    x = 16,791,235,561/59,319
  6. Step 6: Final answer
    x = 283,066.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.