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Finding the Third Proportional to 64,456 and 99,599

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Solution

The third proportional to 64,456 and 99,599 is: 153,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,456 : 99,599 = 99,599 : x
  2. Step 2: Convert to fraction form
    64,456/99,599 = 99,599/x
  3. Step 3: Cross multiply
    64,456x = 99,599 × 99,599
  4. Step 4: Simplify right side
    64,456x = 9,919,960,801
  5. Step 5: Solve for x
    x = 9,919,960,801/64,456
  6. Step 6: Final answer
    x = 153,902.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.