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Finding the Third Proportional to 38,902.50 and 82,989

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Solution

The third proportional to 38,902.50 and 82,989 is: 177,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902.50 : 82,989 = 82,989 : x
  2. Step 2: Convert to fraction form
    38,902.50/82,989 = 82,989/x
  3. Step 3: Cross multiply
    38,902.50x = 82,989 × 82,989
  4. Step 4: Simplify right side
    38,902.50x = 6,887,174,121
  5. Step 5: Solve for x
    x = 6,887,174,121/38,902.50
  6. Step 6: Final answer
    x = 177,036.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.