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Finding the Third Proportional to 379,842 and 887,397

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Solution

The third proportional to 379,842 and 887,397 is: 2,073,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,842 : 887,397 = 887,397 : x
  2. Step 2: Convert to fraction form
    379,842/887,397 = 887,397/x
  3. Step 3: Cross multiply
    379,842x = 887,397 × 887,397
  4. Step 4: Simplify right side
    379,842x = 787,473,435,609
  5. Step 5: Solve for x
    x = 787,473,435,609/379,842
  6. Step 6: Final answer
    x = 2,073,160.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.