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Finding the Third Proportional to 100,459 and 136,436

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Solution

The third proportional to 100,459 and 136,436 is: 185,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459 : 136,436 = 136,436 : x
  2. Step 2: Convert to fraction form
    100,459/136,436 = 136,436/x
  3. Step 3: Cross multiply
    100,459x = 136,436 × 136,436
  4. Step 4: Simplify right side
    100,459x = 18,614,782,096
  5. Step 5: Solve for x
    x = 18,614,782,096/100,459
  6. Step 6: Final answer
    x = 185,297.31

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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.