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Finding the Third Proportional to 20,711.25 and 31,015.13

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Solution

The third proportional to 20,711.25 and 31,015.13 is: 46,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.25 : 31,015.13 = 31,015.13 : x
  2. Step 2: Convert to fraction form
    20,711.25/31,015.13 = 31,015.13/x
  3. Step 3: Cross multiply
    20,711.25x = 31,015.13 × 31,015.13
  4. Step 4: Simplify right side
    20,711.25x = 961,937,978.77
  5. Step 5: Solve for x
    x = 961,937,978.77/20,711.25
  6. Step 6: Final answer
    x = 46,445.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.