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Finding the Third Proportional to 317,952 and 684,656

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Solution

The third proportional to 317,952 and 684,656 is: 1,474,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,952 : 684,656 = 684,656 : x
  2. Step 2: Convert to fraction form
    317,952/684,656 = 684,656/x
  3. Step 3: Cross multiply
    317,952x = 684,656 × 684,656
  4. Step 4: Simplify right side
    317,952x = 468,753,838,336
  5. Step 5: Solve for x
    x = 468,753,838,336/317,952
  6. Step 6: Final answer
    x = 1,474,291.21

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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.