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Finding the Third Proportional to 391,536 and 845,280

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Solution

The third proportional to 391,536 and 845,280 is: 1,824,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,536 : 845,280 = 845,280 : x
  2. Step 2: Convert to fraction form
    391,536/845,280 = 845,280/x
  3. Step 3: Cross multiply
    391,536x = 845,280 × 845,280
  4. Step 4: Simplify right side
    391,536x = 714,498,278,400
  5. Step 5: Solve for x
    x = 714,498,278,400/391,536
  6. Step 6: Final answer
    x = 1,824,859.73

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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.