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Finding the Third Proportional to 457,818 and 694,503

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Solution

The third proportional to 457,818 and 694,503 is: 1,053,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,818 : 694,503 = 694,503 : x
  2. Step 2: Convert to fraction form
    457,818/694,503 = 694,503/x
  3. Step 3: Cross multiply
    457,818x = 694,503 × 694,503
  4. Step 4: Simplify right side
    457,818x = 482,334,417,009
  5. Step 5: Solve for x
    x = 482,334,417,009/457,818
  6. Step 6: Final answer
    x = 1,053,550.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.