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Finding the Third Proportional to 174,557 and 266,909

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Solution

The third proportional to 174,557 and 266,909 is: 408,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,557 : 266,909 = 266,909 : x
  2. Step 2: Convert to fraction form
    174,557/266,909 = 266,909/x
  3. Step 3: Cross multiply
    174,557x = 266,909 × 266,909
  4. Step 4: Simplify right side
    174,557x = 71,240,414,281
  5. Step 5: Solve for x
    x = 71,240,414,281/174,557
  6. Step 6: Final answer
    x = 408,121.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.