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Finding the Third Proportional to 100,152.38 and 133,777.50

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Solution

The third proportional to 100,152.38 and 133,777.50 is: 178,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,152.38 : 133,777.50 = 133,777.50 : x
  2. Step 2: Convert to fraction form
    100,152.38/133,777.50 = 133,777.50/x
  3. Step 3: Cross multiply
    100,152.38x = 133,777.50 × 133,777.50
  4. Step 4: Simplify right side
    100,152.38x = 17,896,419,506.25
  5. Step 5: Solve for x
    x = 17,896,419,506.25/100,152.38
  6. Step 6: Final answer
    x = 178,691.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.