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Finding the Third Proportional to 80,233.66 and 169,420.78

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Solution

The third proportional to 80,233.66 and 169,420.78 is: 357,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,233.66 : 169,420.78 = 169,420.78 : x
  2. Step 2: Convert to fraction form
    80,233.66/169,420.78 = 169,420.78/x
  3. Step 3: Cross multiply
    80,233.66x = 169,420.78 × 169,420.78
  4. Step 4: Simplify right side
    80,233.66x = 28,703,401,119.36
  5. Step 5: Solve for x
    x = 28,703,401,119.36/80,233.66
  6. Step 6: Final answer
    x = 357,747.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.