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Finding the Third Proportional to 15,520.31 and 23,780.81

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Solution

The third proportional to 15,520.31 and 23,780.81 is: 36,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520.31 : 23,780.81 = 23,780.81 : x
  2. Step 2: Convert to fraction form
    15,520.31/23,780.81 = 23,780.81/x
  3. Step 3: Cross multiply
    15,520.31x = 23,780.81 × 23,780.81
  4. Step 4: Simplify right side
    15,520.31x = 565,527,043.16
  5. Step 5: Solve for x
    x = 565,527,043.16/15,520.31
  6. Step 6: Final answer
    x = 36,437.86

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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.