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Finding the Third Proportional to 317,307.38 and 697,399.88

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Solution

The third proportional to 317,307.38 and 697,399.88 is: 1,532,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,307.38 : 697,399.88 = 697,399.88 : x
  2. Step 2: Convert to fraction form
    317,307.38/697,399.88 = 697,399.88/x
  3. Step 3: Cross multiply
    317,307.38x = 697,399.88 × 697,399.88
  4. Step 4: Simplify right side
    317,307.38x = 486,366,585,650.02
  5. Step 5: Solve for x
    x = 486,366,585,650.02/317,307.38
  6. Step 6: Final answer
    x = 1,532,793.20

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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.