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Finding the Third Proportional to 39,781.50 and 85,989

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Solution

The third proportional to 39,781.50 and 85,989 is: 185,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781.50 : 85,989 = 85,989 : x
  2. Step 2: Convert to fraction form
    39,781.50/85,989 = 85,989/x
  3. Step 3: Cross multiply
    39,781.50x = 85,989 × 85,989
  4. Step 4: Simplify right side
    39,781.50x = 7,394,108,121
  5. Step 5: Solve for x
    x = 7,394,108,121/39,781.50
  6. Step 6: Final answer
    x = 185,868.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.