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Finding the Third Proportional to 138,165.75 and 247,900.50

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Solution

The third proportional to 138,165.75 and 247,900.50 is: 444,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,165.75 : 247,900.50 = 247,900.50 : x
  2. Step 2: Convert to fraction form
    138,165.75/247,900.50 = 247,900.50/x
  3. Step 3: Cross multiply
    138,165.75x = 247,900.50 × 247,900.50
  4. Step 4: Simplify right side
    138,165.75x = 61,454,657,900.25
  5. Step 5: Solve for x
    x = 61,454,657,900.25/138,165.75
  6. Step 6: Final answer
    x = 444,789.38

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.