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Finding the Third Proportional to 177,307 and 265,960

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Solution

The third proportional to 177,307 and 265,960 is: 398,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,307 : 265,960 = 265,960 : x
  2. Step 2: Convert to fraction form
    177,307/265,960 = 265,960/x
  3. Step 3: Cross multiply
    177,307x = 265,960 × 265,960
  4. Step 4: Simplify right side
    177,307x = 70,734,721,600
  5. Step 5: Solve for x
    x = 70,734,721,600/177,307
  6. Step 6: Final answer
    x = 398,939.25

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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.