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Finding the Third Proportional to 317,369 and 661,042

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Solution

The third proportional to 317,369 and 661,042 is: 1,376,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,369 : 661,042 = 661,042 : x
  2. Step 2: Convert to fraction form
    317,369/661,042 = 661,042/x
  3. Step 3: Cross multiply
    317,369x = 661,042 × 661,042
  4. Step 4: Simplify right side
    317,369x = 436,976,525,764
  5. Step 5: Solve for x
    x = 436,976,525,764/317,369
  6. Step 6: Final answer
    x = 1,376,872.11

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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.