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Finding the Third Proportional to 9,497 and 20,290

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Solution

The third proportional to 9,497 and 20,290 is: 43,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497 : 20,290 = 20,290 : x
  2. Step 2: Convert to fraction form
    9,497/20,290 = 20,290/x
  3. Step 3: Cross multiply
    9,497x = 20,290 × 20,290
  4. Step 4: Simplify right side
    9,497x = 411,684,100
  5. Step 5: Solve for x
    x = 411,684,100/9,497
  6. Step 6: Final answer
    x = 43,348.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.