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Finding the Third Proportional to 71,448.12 and 109,642.57

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Solution

The third proportional to 71,448.12 and 109,642.57 is: 168,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,448.12 : 109,642.57 = 109,642.57 : x
  2. Step 2: Convert to fraction form
    71,448.12/109,642.57 = 109,642.57/x
  3. Step 3: Cross multiply
    71,448.12x = 109,642.57 × 109,642.57
  4. Step 4: Simplify right side
    71,448.12x = 12,021,493,224.73
  5. Step 5: Solve for x
    x = 12,021,493,224.73/71,448.12
  6. Step 6: Final answer
    x = 168,254.86

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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.