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Finding the Third Proportional to 15,232.50 and 32,132.25

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Solution

The third proportional to 15,232.50 and 32,132.25 is: 67,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.50 : 32,132.25 = 32,132.25 : x
  2. Step 2: Convert to fraction form
    15,232.50/32,132.25 = 32,132.25/x
  3. Step 3: Cross multiply
    15,232.50x = 32,132.25 × 32,132.25
  4. Step 4: Simplify right side
    15,232.50x = 1,032,481,490.06
  5. Step 5: Solve for x
    x = 1,032,481,490.06/15,232.50
  6. Step 6: Final answer
    x = 67,781.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.