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Finding the Third Proportional to 378,360 and 791,764

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Solution

The third proportional to 378,360 and 791,764 is: 1,656,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,360 : 791,764 = 791,764 : x
  2. Step 2: Convert to fraction form
    378,360/791,764 = 791,764/x
  3. Step 3: Cross multiply
    378,360x = 791,764 × 791,764
  4. Step 4: Simplify right side
    378,360x = 626,890,231,696
  5. Step 5: Solve for x
    x = 626,890,231,696/378,360
  6. Step 6: Final answer
    x = 1,656,861.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.