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Finding the Third Proportional to 20,382 and 31,502.25

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Solution

The third proportional to 20,382 and 31,502.25 is: 48,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382 : 31,502.25 = 31,502.25 : x
  2. Step 2: Convert to fraction form
    20,382/31,502.25 = 31,502.25/x
  3. Step 3: Cross multiply
    20,382x = 31,502.25 × 31,502.25
  4. Step 4: Simplify right side
    20,382x = 992,391,755.06
  5. Step 5: Solve for x
    x = 992,391,755.06/20,382
  6. Step 6: Final answer
    x = 48,689.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.