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Finding the Third Proportional to 100,478 and 136,452

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Solution

The third proportional to 100,478 and 136,452 is: 185,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,478 : 136,452 = 136,452 : x
  2. Step 2: Convert to fraction form
    100,478/136,452 = 136,452/x
  3. Step 3: Cross multiply
    100,478x = 136,452 × 136,452
  4. Step 4: Simplify right side
    100,478x = 18,619,148,304
  5. Step 5: Solve for x
    x = 18,619,148,304/100,478
  6. Step 6: Final answer
    x = 185,305.72

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