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Finding the Third Proportional to 172,849 and 266,649

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Solution

The third proportional to 172,849 and 266,649 is: 411,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,849 : 266,649 = 266,649 : x
  2. Step 2: Convert to fraction form
    172,849/266,649 = 266,649/x
  3. Step 3: Cross multiply
    172,849x = 266,649 × 266,649
  4. Step 4: Simplify right side
    172,849x = 71,101,689,201
  5. Step 5: Solve for x
    x = 71,101,689,201/172,849
  6. Step 6: Final answer
    x = 411,351.46

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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.