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Finding the Third Proportional to 80,611.45 and 172,294.59

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Solution

The third proportional to 80,611.45 and 172,294.59 is: 368,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,611.45 : 172,294.59 = 172,294.59 : x
  2. Step 2: Convert to fraction form
    80,611.45/172,294.59 = 172,294.59/x
  3. Step 3: Cross multiply
    80,611.45x = 172,294.59 × 172,294.59
  4. Step 4: Simplify right side
    80,611.45x = 29,685,427,035.48
  5. Step 5: Solve for x
    x = 29,685,427,035.48/80,611.45
  6. Step 6: Final answer
    x = 368,253.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.