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Finding the Third Proportional to 115,566 and 177,387

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Solution

The third proportional to 115,566 and 177,387 is: 272,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,566 : 177,387 = 177,387 : x
  2. Step 2: Convert to fraction form
    115,566/177,387 = 177,387/x
  3. Step 3: Cross multiply
    115,566x = 177,387 × 177,387
  4. Step 4: Simplify right side
    115,566x = 31,466,147,769
  5. Step 5: Solve for x
    x = 31,466,147,769/115,566
  6. Step 6: Final answer
    x = 272,278.59

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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.