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Finding the Third Proportional to 391,610 and 847,372

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Solution

The third proportional to 391,610 and 847,372 is: 1,833,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,610 : 847,372 = 847,372 : x
  2. Step 2: Convert to fraction form
    391,610/847,372 = 847,372/x
  3. Step 3: Cross multiply
    391,610x = 847,372 × 847,372
  4. Step 4: Simplify right side
    391,610x = 718,039,306,384
  5. Step 5: Solve for x
    x = 718,039,306,384/391,610
  6. Step 6: Final answer
    x = 1,833,557.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.