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Finding the Third Proportional to 100,644 and 129,078

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Solution

The third proportional to 100,644 and 129,078 is: 165,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,644 : 129,078 = 129,078 : x
  2. Step 2: Convert to fraction form
    100,644/129,078 = 129,078/x
  3. Step 3: Cross multiply
    100,644x = 129,078 × 129,078
  4. Step 4: Simplify right side
    100,644x = 16,661,130,084
  5. Step 5: Solve for x
    x = 16,661,130,084/100,644
  6. Step 6: Final answer
    x = 165,545.19

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.