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Finding the Third Proportional to 317,574 and 681,197

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Solution

The third proportional to 317,574 and 681,197 is: 1,461,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,574 : 681,197 = 681,197 : x
  2. Step 2: Convert to fraction form
    317,574/681,197 = 681,197/x
  3. Step 3: Cross multiply
    317,574x = 681,197 × 681,197
  4. Step 4: Simplify right side
    317,574x = 464,029,352,809
  5. Step 5: Solve for x
    x = 464,029,352,809/317,574
  6. Step 6: Final answer
    x = 1,461,169.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.