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Finding the Third Proportional to 19,972.50 and 31,329.75

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Solution

The third proportional to 19,972.50 and 31,329.75 is: 49,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972.50 : 31,329.75 = 31,329.75 : x
  2. Step 2: Convert to fraction form
    19,972.50/31,329.75 = 31,329.75/x
  3. Step 3: Cross multiply
    19,972.50x = 31,329.75 × 31,329.75
  4. Step 4: Simplify right side
    19,972.50x = 981,553,235.06
  5. Step 5: Solve for x
    x = 981,553,235.06/19,972.50
  6. Step 6: Final answer
    x = 49,145.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.