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Finding the Third Proportional to 78,815.06 and 125,470.88

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Solution

The third proportional to 78,815.06 and 125,470.88 is: 199,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,815.06 : 125,470.88 = 125,470.88 : x
  2. Step 2: Convert to fraction form
    78,815.06/125,470.88 = 125,470.88/x
  3. Step 3: Cross multiply
    78,815.06x = 125,470.88 × 125,470.88
  4. Step 4: Simplify right side
    78,815.06x = 15,742,940,473.27
  5. Step 5: Solve for x
    x = 15,742,940,473.27/78,815.06
  6. Step 6: Final answer
    x = 199,745.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.