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Finding the Third Proportional to 100,478 and 136,464

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Solution

The third proportional to 100,478 and 136,464 is: 185,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,478 : 136,464 = 136,464 : x
  2. Step 2: Convert to fraction form
    100,478/136,464 = 136,464/x
  3. Step 3: Cross multiply
    100,478x = 136,464 × 136,464
  4. Step 4: Simplify right side
    100,478x = 18,622,423,296
  5. Step 5: Solve for x
    x = 18,622,423,296/100,478
  6. Step 6: Final answer
    x = 185,338.32

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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.