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Finding the Third Proportional to 317,718 and 681,498

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Solution

The third proportional to 317,718 and 681,498 is: 1,461,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,718 : 681,498 = 681,498 : x
  2. Step 2: Convert to fraction form
    317,718/681,498 = 681,498/x
  3. Step 3: Cross multiply
    317,718x = 681,498 × 681,498
  4. Step 4: Simplify right side
    317,718x = 464,439,524,004
  5. Step 5: Solve for x
    x = 464,439,524,004/317,718
  6. Step 6: Final answer
    x = 1,461,797.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.