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Finding the Third Proportional to 177,228 and 269,487

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Solution

The third proportional to 177,228 and 269,487 is: 409,772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,228 : 269,487 = 269,487 : x
  2. Step 2: Convert to fraction form
    177,228/269,487 = 269,487/x
  3. Step 3: Cross multiply
    177,228x = 269,487 × 269,487
  4. Step 4: Simplify right side
    177,228x = 72,623,243,169
  5. Step 5: Solve for x
    x = 72,623,243,169/177,228
  6. Step 6: Final answer
    x = 409,772.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.