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Finding the Third Proportional to 372,959 and 814,231

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Solution

The third proportional to 372,959 and 814,231 is: 1,777,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,959 : 814,231 = 814,231 : x
  2. Step 2: Convert to fraction form
    372,959/814,231 = 814,231/x
  3. Step 3: Cross multiply
    372,959x = 814,231 × 814,231
  4. Step 4: Simplify right side
    372,959x = 662,972,121,361
  5. Step 5: Solve for x
    x = 662,972,121,361/372,959
  6. Step 6: Final answer
    x = 1,777,600.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.