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Finding the Third Proportional to 85,781.25 and 123,751.13

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Solution

The third proportional to 85,781.25 and 123,751.13 is: 178,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,781.25 : 123,751.13 = 123,751.13 : x
  2. Step 2: Convert to fraction form
    85,781.25/123,751.13 = 123,751.13/x
  3. Step 3: Cross multiply
    85,781.25x = 123,751.13 × 123,751.13
  4. Step 4: Simplify right side
    85,781.25x = 15,314,340,938.77
  5. Step 5: Solve for x
    x = 15,314,340,938.77/85,781.25
  6. Step 6: Final answer
    x = 178,527.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.