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Finding the Third Proportional to 20,665.13 and 38,733.19

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Solution

The third proportional to 20,665.13 and 38,733.19 is: 72,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.13 : 38,733.19 = 38,733.19 : x
  2. Step 2: Convert to fraction form
    20,665.13/38,733.19 = 38,733.19/x
  3. Step 3: Cross multiply
    20,665.13x = 38,733.19 × 38,733.19
  4. Step 4: Simplify right side
    20,665.13x = 1,500,259,813.91
  5. Step 5: Solve for x
    x = 1,500,259,813.91/20,665.13
  6. Step 6: Final answer
    x = 72,598.63

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.