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Finding the Third Proportional to 90,394 and 198,020

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Solution

The third proportional to 90,394 and 198,020 is: 433,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,394 : 198,020 = 198,020 : x
  2. Step 2: Convert to fraction form
    90,394/198,020 = 198,020/x
  3. Step 3: Cross multiply
    90,394x = 198,020 × 198,020
  4. Step 4: Simplify right side
    90,394x = 39,211,920,400
  5. Step 5: Solve for x
    x = 39,211,920,400/90,394
  6. Step 6: Final answer
    x = 433,788.97

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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.