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Finding the Third Proportional to 100,480 and 136,467

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Solution

The third proportional to 100,480 and 136,467 is: 185,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,480 : 136,467 = 136,467 : x
  2. Step 2: Convert to fraction form
    100,480/136,467 = 136,467/x
  3. Step 3: Cross multiply
    100,480x = 136,467 × 136,467
  4. Step 4: Simplify right side
    100,480x = 18,623,242,089
  5. Step 5: Solve for x
    x = 18,623,242,089/100,480
  6. Step 6: Final answer
    x = 185,342.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.