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Finding the Third Proportional to 59,686.88 and 129,913.88

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Solution

The third proportional to 59,686.88 and 129,913.88 is: 282,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,686.88 : 129,913.88 = 129,913.88 : x
  2. Step 2: Convert to fraction form
    59,686.88/129,913.88 = 129,913.88/x
  3. Step 3: Cross multiply
    59,686.88x = 129,913.88 × 129,913.88
  4. Step 4: Simplify right side
    59,686.88x = 16,877,614,917.52
  5. Step 5: Solve for x
    x = 16,877,614,917.52/59,686.88
  6. Step 6: Final answer
    x = 282,769.28

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