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Finding the Third Proportional to 81,026.25 and 122,657.44

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Solution

The third proportional to 81,026.25 and 122,657.44 is: 185,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,026.25 : 122,657.44 = 122,657.44 : x
  2. Step 2: Convert to fraction form
    81,026.25/122,657.44 = 122,657.44/x
  3. Step 3: Cross multiply
    81,026.25x = 122,657.44 × 122,657.44
  4. Step 4: Simplify right side
    81,026.25x = 15,044,846,974.07
  5. Step 5: Solve for x
    x = 15,044,846,974.07/81,026.25
  6. Step 6: Final answer
    x = 185,678.68

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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.