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Finding the Third Proportional to 318,357 and 697,950

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Solution

The third proportional to 318,357 and 697,950 is: 1,530,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,357 : 697,950 = 697,950 : x
  2. Step 2: Convert to fraction form
    318,357/697,950 = 697,950/x
  3. Step 3: Cross multiply
    318,357x = 697,950 × 697,950
  4. Step 4: Simplify right side
    318,357x = 487,134,202,500
  5. Step 5: Solve for x
    x = 487,134,202,500/318,357
  6. Step 6: Final answer
    x = 1,530,150.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.