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Finding the Third Proportional to 90,344 and 197,920

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Solution

The third proportional to 90,344 and 197,920 is: 433,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,344 : 197,920 = 197,920 : x
  2. Step 2: Convert to fraction form
    90,344/197,920 = 197,920/x
  3. Step 3: Cross multiply
    90,344x = 197,920 × 197,920
  4. Step 4: Simplify right side
    90,344x = 39,172,326,400
  5. Step 5: Solve for x
    x = 39,172,326,400/90,344
  6. Step 6: Final answer
    x = 433,590.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.