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Finding the Third Proportional to 457,815 and 697,374

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Solution

The third proportional to 457,815 and 697,374 is: 1,062,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,815 : 697,374 = 697,374 : x
  2. Step 2: Convert to fraction form
    457,815/697,374 = 697,374/x
  3. Step 3: Cross multiply
    457,815x = 697,374 × 697,374
  4. Step 4: Simplify right side
    457,815x = 486,330,495,876
  5. Step 5: Solve for x
    x = 486,330,495,876/457,815
  6. Step 6: Final answer
    x = 1,062,286.07

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