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Finding the Third Proportional to 76,412 and 99,849

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Solution

The third proportional to 76,412 and 99,849 is: 130,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412 : 99,849 = 99,849 : x
  2. Step 2: Convert to fraction form
    76,412/99,849 = 99,849/x
  3. Step 3: Cross multiply
    76,412x = 99,849 × 99,849
  4. Step 4: Simplify right side
    76,412x = 9,969,822,801
  5. Step 5: Solve for x
    x = 9,969,822,801/76,412
  6. Step 6: Final answer
    x = 130,474.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.