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Finding the Third Proportional to 177,072 and 265,800

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Solution

The third proportional to 177,072 and 265,800 is: 398,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,072 : 265,800 = 265,800 : x
  2. Step 2: Convert to fraction form
    177,072/265,800 = 265,800/x
  3. Step 3: Cross multiply
    177,072x = 265,800 × 265,800
  4. Step 4: Simplify right side
    177,072x = 70,649,640,000
  5. Step 5: Solve for x
    x = 70,649,640,000/177,072
  6. Step 6: Final answer
    x = 398,988.21

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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.