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Finding the Third Proportional to 28,687.29 and 47,407.78

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Solution

The third proportional to 28,687.29 and 47,407.78 is: 78,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,687.29 : 47,407.78 = 47,407.78 : x
  2. Step 2: Convert to fraction form
    28,687.29/47,407.78 = 47,407.78/x
  3. Step 3: Cross multiply
    28,687.29x = 47,407.78 × 47,407.78
  4. Step 4: Simplify right side
    28,687.29x = 2,247,497,723.05
  5. Step 5: Solve for x
    x = 2,247,497,723.05/28,687.29
  6. Step 6: Final answer
    x = 78,344.72

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.