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Finding the Third Proportional to 177,120 and 265,872

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Solution

The third proportional to 177,120 and 265,872 is: 399,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,120 : 265,872 = 265,872 : x
  2. Step 2: Convert to fraction form
    177,120/265,872 = 265,872/x
  3. Step 3: Cross multiply
    177,120x = 265,872 × 265,872
  4. Step 4: Simplify right side
    177,120x = 70,687,920,384
  5. Step 5: Solve for x
    x = 70,687,920,384/177,120
  6. Step 6: Final answer
    x = 399,096.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.