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Finding the Third Proportional to 457,729 and 697,249

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Solution

The third proportional to 457,729 and 697,249 is: 1,062,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,729 : 697,249 = 697,249 : x
  2. Step 2: Convert to fraction form
    457,729/697,249 = 697,249/x
  3. Step 3: Cross multiply
    457,729x = 697,249 × 697,249
  4. Step 4: Simplify right side
    457,729x = 486,156,168,001
  5. Step 5: Solve for x
    x = 486,156,168,001/457,729
  6. Step 6: Final answer
    x = 1,062,104.80

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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.