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Finding the Third Proportional to 378,356 and 791,756

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Solution

The third proportional to 378,356 and 791,756 is: 1,656,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,356 : 791,756 = 791,756 : x
  2. Step 2: Convert to fraction form
    378,356/791,756 = 791,756/x
  3. Step 3: Cross multiply
    378,356x = 791,756 × 791,756
  4. Step 4: Simplify right side
    378,356x = 626,877,563,536
  5. Step 5: Solve for x
    x = 626,877,563,536/378,356
  6. Step 6: Final answer
    x = 1,656,845.84

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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.