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Finding the Third Proportional to 100,387.50 and 133,832.25

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Solution

The third proportional to 100,387.50 and 133,832.25 is: 178,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,387.50 : 133,832.25 = 133,832.25 : x
  2. Step 2: Convert to fraction form
    100,387.50/133,832.25 = 133,832.25/x
  3. Step 3: Cross multiply
    100,387.50x = 133,832.25 × 133,832.25
  4. Step 4: Simplify right side
    100,387.50x = 17,911,071,140.06
  5. Step 5: Solve for x
    x = 17,911,071,140.06/100,387.50
  6. Step 6: Final answer
    x = 178,419.34

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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.