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Finding the Third Proportional to 317,372 and 661,048

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Solution

The third proportional to 317,372 and 661,048 is: 1,376,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,372 : 661,048 = 661,048 : x
  2. Step 2: Convert to fraction form
    317,372/661,048 = 661,048/x
  3. Step 3: Cross multiply
    317,372x = 661,048 × 661,048
  4. Step 4: Simplify right side
    317,372x = 436,984,458,304
  5. Step 5: Solve for x
    x = 436,984,458,304/317,372
  6. Step 6: Final answer
    x = 1,376,884.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.