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Finding the Third Proportional to 457,140 and 697,317

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Solution

The third proportional to 457,140 and 697,317 is: 1,063,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,140 : 697,317 = 697,317 : x
  2. Step 2: Convert to fraction form
    457,140/697,317 = 697,317/x
  3. Step 3: Cross multiply
    457,140x = 697,317 × 697,317
  4. Step 4: Simplify right side
    457,140x = 486,250,998,489
  5. Step 5: Solve for x
    x = 486,250,998,489/457,140
  6. Step 6: Final answer
    x = 1,063,680.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.