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Finding the Third Proportional to 37,218.87 and 81,129.73

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Solution

The third proportional to 37,218.87 and 81,129.73 is: 176,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,218.87 : 81,129.73 = 81,129.73 : x
  2. Step 2: Convert to fraction form
    37,218.87/81,129.73 = 81,129.73/x
  3. Step 3: Cross multiply
    37,218.87x = 81,129.73 × 81,129.73
  4. Step 4: Simplify right side
    37,218.87x = 6,582,032,532.11
  5. Step 5: Solve for x
    x = 6,582,032,532.11/37,218.87
  6. Step 6: Final answer
    x = 176,846.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.