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Finding the Third Proportional to 82,059.75 and 129,772.13

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Solution

The third proportional to 82,059.75 and 129,772.13 is: 205,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,059.75 : 129,772.13 = 129,772.13 : x
  2. Step 2: Convert to fraction form
    82,059.75/129,772.13 = 129,772.13/x
  3. Step 3: Cross multiply
    82,059.75x = 129,772.13 × 129,772.13
  4. Step 4: Simplify right side
    82,059.75x = 16,840,804,427.02
  5. Step 5: Solve for x
    x = 16,840,804,427.02/82,059.75
  6. Step 6: Final answer
    x = 205,226.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.