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Finding the Third Proportional to 20,491.88 and 31,332.94

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Solution

The third proportional to 20,491.88 and 31,332.94 is: 47,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.88 : 31,332.94 = 31,332.94 : x
  2. Step 2: Convert to fraction form
    20,491.88/31,332.94 = 31,332.94/x
  3. Step 3: Cross multiply
    20,491.88x = 31,332.94 × 31,332.94
  4. Step 4: Simplify right side
    20,491.88x = 981,752,972.38
  5. Step 5: Solve for x
    x = 981,752,972.38/20,491.88
  6. Step 6: Final answer
    x = 47,909.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.