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Finding the Third Proportional to 71,396.91 and 156,804.29

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Solution

The third proportional to 71,396.91 and 156,804.29 is: 344,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,396.91 : 156,804.29 = 156,804.29 : x
  2. Step 2: Convert to fraction form
    71,396.91/156,804.29 = 156,804.29/x
  3. Step 3: Cross multiply
    71,396.91x = 156,804.29 × 156,804.29
  4. Step 4: Simplify right side
    71,396.91x = 24,587,586,293.43
  5. Step 5: Solve for x
    x = 24,587,586,293.43/71,396.91
  6. Step 6: Final answer
    x = 344,378.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.