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Finding the Third Proportional to 317,320 and 667,364

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Solution

The third proportional to 317,320 and 667,364 is: 1,403,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,320 : 667,364 = 667,364 : x
  2. Step 2: Convert to fraction form
    317,320/667,364 = 667,364/x
  3. Step 3: Cross multiply
    317,320x = 667,364 × 667,364
  4. Step 4: Simplify right side
    317,320x = 445,374,708,496
  5. Step 5: Solve for x
    x = 445,374,708,496/317,320
  6. Step 6: Final answer
    x = 1,403,550.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.