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Finding the Third Proportional to 100,520 and 155,132

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Solution

The third proportional to 100,520 and 155,132 is: 239,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,520 : 155,132 = 155,132 : x
  2. Step 2: Convert to fraction form
    100,520/155,132 = 155,132/x
  3. Step 3: Cross multiply
    100,520x = 155,132 × 155,132
  4. Step 4: Simplify right side
    100,520x = 24,065,937,424
  5. Step 5: Solve for x
    x = 24,065,937,424/100,520
  6. Step 6: Final answer
    x = 239,414.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.