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Finding the Third Proportional to 31,470.75 and 66,585.94

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Solution

The third proportional to 31,470.75 and 66,585.94 is: 140,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470.75 : 66,585.94 = 66,585.94 : x
  2. Step 2: Convert to fraction form
    31,470.75/66,585.94 = 66,585.94/x
  3. Step 3: Cross multiply
    31,470.75x = 66,585.94 × 66,585.94
  4. Step 4: Simplify right side
    31,470.75x = 4,433,687,072.75
  5. Step 5: Solve for x
    x = 4,433,687,072.75/31,470.75
  6. Step 6: Final answer
    x = 140,882.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.