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Finding the Third Proportional to 80,172.28 and 172,772.16

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Solution

The third proportional to 80,172.28 and 172,772.16 is: 372,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,172.28 : 172,772.16 = 172,772.16 : x
  2. Step 2: Convert to fraction form
    80,172.28/172,772.16 = 172,772.16/x
  3. Step 3: Cross multiply
    80,172.28x = 172,772.16 × 172,772.16
  4. Step 4: Simplify right side
    80,172.28x = 29,850,217,975.27
  5. Step 5: Solve for x
    x = 29,850,217,975.27/80,172.28
  6. Step 6: Final answer
    x = 372,325.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.