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Finding the Third Proportional to 387,251 and 843,397

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Solution

The third proportional to 387,251 and 843,397 is: 1,836,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,251 : 843,397 = 843,397 : x
  2. Step 2: Convert to fraction form
    387,251/843,397 = 843,397/x
  3. Step 3: Cross multiply
    387,251x = 843,397 × 843,397
  4. Step 4: Simplify right side
    387,251x = 711,318,499,609
  5. Step 5: Solve for x
    x = 711,318,499,609/387,251
  6. Step 6: Final answer
    x = 1,836,840.96

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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.