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Finding the Third Proportional to 51,107.20 and 78,445.97

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Solution

The third proportional to 51,107.20 and 78,445.97 is: 120,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,107.20 : 78,445.97 = 78,445.97 : x
  2. Step 2: Convert to fraction form
    51,107.20/78,445.97 = 78,445.97/x
  3. Step 3: Cross multiply
    51,107.20x = 78,445.97 × 78,445.97
  4. Step 4: Simplify right side
    51,107.20x = 6,153,770,013.13
  5. Step 5: Solve for x
    x = 6,153,770,013.13/51,107.20
  6. Step 6: Final answer
    x = 120,409.05

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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.