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Finding the Third Proportional to 391,736 and 845,664

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Solution

The third proportional to 391,736 and 845,664 is: 1,825,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,736 : 845,664 = 845,664 : x
  2. Step 2: Convert to fraction form
    391,736/845,664 = 845,664/x
  3. Step 3: Cross multiply
    391,736x = 845,664 × 845,664
  4. Step 4: Simplify right side
    391,736x = 715,147,600,896
  5. Step 5: Solve for x
    x = 715,147,600,896/391,736
  6. Step 6: Final answer
    x = 1,825,585.60

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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.