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Finding the Third Proportional to 317,223 and 686,718

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Solution

The third proportional to 317,223 and 686,718 is: 1,486,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,223 : 686,718 = 686,718 : x
  2. Step 2: Convert to fraction form
    317,223/686,718 = 686,718/x
  3. Step 3: Cross multiply
    317,223x = 686,718 × 686,718
  4. Step 4: Simplify right side
    317,223x = 471,581,611,524
  5. Step 5: Solve for x
    x = 471,581,611,524/317,223
  6. Step 6: Final answer
    x = 1,486,593.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.