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Finding the Third Proportional to 100,448 and 136,421

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Solution

The third proportional to 100,448 and 136,421 is: 185,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,448 : 136,421 = 136,421 : x
  2. Step 2: Convert to fraction form
    100,448/136,421 = 136,421/x
  3. Step 3: Cross multiply
    100,448x = 136,421 × 136,421
  4. Step 4: Simplify right side
    100,448x = 18,610,689,241
  5. Step 5: Solve for x
    x = 18,610,689,241/100,448
  6. Step 6: Final answer
    x = 185,276.85

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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.