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Finding the Third Proportional to 20,378.25 and 36,721.69

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Solution

The third proportional to 20,378.25 and 36,721.69 is: 66,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,378.25 : 36,721.69 = 36,721.69 : x
  2. Step 2: Convert to fraction form
    20,378.25/36,721.69 = 36,721.69/x
  3. Step 3: Cross multiply
    20,378.25x = 36,721.69 × 36,721.69
  4. Step 4: Simplify right side
    20,378.25x = 1,348,482,332.85
  5. Step 5: Solve for x
    x = 1,348,482,332.85/20,378.25
  6. Step 6: Final answer
    x = 66,172.63

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.