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Finding the Third Proportional to 317,539 and 686,269

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Solution

The third proportional to 317,539 and 686,269 is: 1,483,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,539 : 686,269 = 686,269 : x
  2. Step 2: Convert to fraction form
    317,539/686,269 = 686,269/x
  3. Step 3: Cross multiply
    317,539x = 686,269 × 686,269
  4. Step 4: Simplify right side
    317,539x = 470,965,140,361
  5. Step 5: Solve for x
    x = 470,965,140,361/317,539
  6. Step 6: Final answer
    x = 1,483,172.59

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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.