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Finding the Third Proportional to 155,792 and 338,921

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Solution

The third proportional to 155,792 and 338,921 is: 737,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,792 : 338,921 = 338,921 : x
  2. Step 2: Convert to fraction form
    155,792/338,921 = 338,921/x
  3. Step 3: Cross multiply
    155,792x = 338,921 × 338,921
  4. Step 4: Simplify right side
    155,792x = 114,867,444,241
  5. Step 5: Solve for x
    x = 114,867,444,241/155,792
  6. Step 6: Final answer
    x = 737,312.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.