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Finding the Third Proportional to 99,924 and 129,641.25

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Solution

The third proportional to 99,924 and 129,641.25 is: 168,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,924 : 129,641.25 = 129,641.25 : x
  2. Step 2: Convert to fraction form
    99,924/129,641.25 = 129,641.25/x
  3. Step 3: Cross multiply
    99,924x = 129,641.25 × 129,641.25
  4. Step 4: Simplify right side
    99,924x = 16,806,853,701.56
  5. Step 5: Solve for x
    x = 16,806,853,701.56/99,924
  6. Step 6: Final answer
    x = 168,196.37

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.