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Finding the Third Proportional to 317,195 and 697,478

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Solution

The third proportional to 317,195 and 697,478 is: 1,533,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,195 : 697,478 = 697,478 : x
  2. Step 2: Convert to fraction form
    317,195/697,478 = 697,478/x
  3. Step 3: Cross multiply
    317,195x = 697,478 × 697,478
  4. Step 4: Simplify right side
    317,195x = 486,475,560,484
  5. Step 5: Solve for x
    x = 486,475,560,484/317,195
  6. Step 6: Final answer
    x = 1,533,679.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.