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Finding the Third Proportional to 77,987 and 118,081

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Solution

The third proportional to 77,987 and 118,081 is: 178,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,987 : 118,081 = 118,081 : x
  2. Step 2: Convert to fraction form
    77,987/118,081 = 118,081/x
  3. Step 3: Cross multiply
    77,987x = 118,081 × 118,081
  4. Step 4: Simplify right side
    77,987x = 13,943,122,561
  5. Step 5: Solve for x
    x = 13,943,122,561/77,987
  6. Step 6: Final answer
    x = 178,787.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.