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Finding the Third Proportional to 99,928 and 129,647

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Solution

The third proportional to 99,928 and 129,647 is: 168,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,928 : 129,647 = 129,647 : x
  2. Step 2: Convert to fraction form
    99,928/129,647 = 129,647/x
  3. Step 3: Cross multiply
    99,928x = 129,647 × 129,647
  4. Step 4: Simplify right side
    99,928x = 16,808,344,609
  5. Step 5: Solve for x
    x = 16,808,344,609/99,928
  6. Step 6: Final answer
    x = 168,204.55

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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.