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Finding the Third Proportional to 318,922 and 676,716

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Solution

The third proportional to 318,922 and 676,716 is: 1,435,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,922 : 676,716 = 676,716 : x
  2. Step 2: Convert to fraction form
    318,922/676,716 = 676,716/x
  3. Step 3: Cross multiply
    318,922x = 676,716 × 676,716
  4. Step 4: Simplify right side
    318,922x = 457,944,544,656
  5. Step 5: Solve for x
    x = 457,944,544,656/318,922
  6. Step 6: Final answer
    x = 1,435,913.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.