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Finding the Third Proportional to 353,942 and 766,920

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Solution

The third proportional to 353,942 and 766,920 is: 1,661,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,942 : 766,920 = 766,920 : x
  2. Step 2: Convert to fraction form
    353,942/766,920 = 766,920/x
  3. Step 3: Cross multiply
    353,942x = 766,920 × 766,920
  4. Step 4: Simplify right side
    353,942x = 588,166,286,400
  5. Step 5: Solve for x
    x = 588,166,286,400/353,942
  6. Step 6: Final answer
    x = 1,661,758.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.