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Finding the Third Proportional to 80,743.50 and 115,579.41

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Solution

The third proportional to 80,743.50 and 115,579.41 is: 165,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,743.50 : 115,579.41 = 115,579.41 : x
  2. Step 2: Convert to fraction form
    80,743.50/115,579.41 = 115,579.41/x
  3. Step 3: Cross multiply
    80,743.50x = 115,579.41 × 115,579.41
  4. Step 4: Simplify right side
    80,743.50x = 13,358,599,149.10
  5. Step 5: Solve for x
    x = 13,358,599,149.10/80,743.50
  6. Step 6: Final answer
    x = 165,444.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.