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Finding the Third Proportional to 172,772 and 266,538

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Solution

The third proportional to 172,772 and 266,538 is: 411,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,772 : 266,538 = 266,538 : x
  2. Step 2: Convert to fraction form
    172,772/266,538 = 266,538/x
  3. Step 3: Cross multiply
    172,772x = 266,538 × 266,538
  4. Step 4: Simplify right side
    172,772x = 71,042,505,444
  5. Step 5: Solve for x
    x = 71,042,505,444/172,772
  6. Step 6: Final answer
    x = 411,192.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.