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Finding the Third Proportional to 99,909 and 129,768.75

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Solution

The third proportional to 99,909 and 129,768.75 is: 168,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,909 : 129,768.75 = 129,768.75 : x
  2. Step 2: Convert to fraction form
    99,909/129,768.75 = 129,768.75/x
  3. Step 3: Cross multiply
    99,909x = 129,768.75 × 129,768.75
  4. Step 4: Simplify right side
    99,909x = 16,839,928,476.56
  5. Step 5: Solve for x
    x = 16,839,928,476.56/99,909
  6. Step 6: Final answer
    x = 168,552.67

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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.