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Finding the Third Proportional to 457,836 and 697,407

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Solution

The third proportional to 457,836 and 697,407 is: 1,062,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,836 : 697,407 = 697,407 : x
  2. Step 2: Convert to fraction form
    457,836/697,407 = 697,407/x
  3. Step 3: Cross multiply
    457,836x = 697,407 × 697,407
  4. Step 4: Simplify right side
    457,836x = 486,376,523,649
  5. Step 5: Solve for x
    x = 486,376,523,649/457,836
  6. Step 6: Final answer
    x = 1,062,337.88

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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.