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Finding the Third Proportional to 457,820 and 694,506

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Solution

The third proportional to 457,820 and 694,506 is: 1,053,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,820 : 694,506 = 694,506 : x
  2. Step 2: Convert to fraction form
    457,820/694,506 = 694,506/x
  3. Step 3: Cross multiply
    457,820x = 694,506 × 694,506
  4. Step 4: Simplify right side
    457,820x = 482,338,584,036
  5. Step 5: Solve for x
    x = 482,338,584,036/457,820
  6. Step 6: Final answer
    x = 1,053,555.07

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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.