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Finding the Third Proportional to 177,119 and 205,909

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Solution

The third proportional to 177,119 and 205,909 is: 239,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,119 : 205,909 = 205,909 : x
  2. Step 2: Convert to fraction form
    177,119/205,909 = 205,909/x
  3. Step 3: Cross multiply
    177,119x = 205,909 × 205,909
  4. Step 4: Simplify right side
    177,119x = 42,398,516,281
  5. Step 5: Solve for x
    x = 42,398,516,281/177,119
  6. Step 6: Final answer
    x = 239,378.70

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.