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Finding the Third Proportional to 100,432.50 and 133,287

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Solution

The third proportional to 100,432.50 and 133,287 is: 176,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432.50 : 133,287 = 133,287 : x
  2. Step 2: Convert to fraction form
    100,432.50/133,287 = 133,287/x
  3. Step 3: Cross multiply
    100,432.50x = 133,287 × 133,287
  4. Step 4: Simplify right side
    100,432.50x = 17,765,424,369
  5. Step 5: Solve for x
    x = 17,765,424,369/100,432.50
  6. Step 6: Final answer
    x = 176,889.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.