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Finding the Third Proportional to 31,821.49 and 66,257.13

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Solution

The third proportional to 31,821.49 and 66,257.13 is: 137,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,821.49 : 66,257.13 = 66,257.13 : x
  2. Step 2: Convert to fraction form
    31,821.49/66,257.13 = 66,257.13/x
  3. Step 3: Cross multiply
    31,821.49x = 66,257.13 × 66,257.13
  4. Step 4: Simplify right side
    31,821.49x = 4,390,007,260.31
  5. Step 5: Solve for x
    x = 4,390,007,260.31/31,821.49
  6. Step 6: Final answer
    x = 137,957.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.