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Finding the Third Proportional to 9,897 and 20,061

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Solution

The third proportional to 9,897 and 20,061 is: 40,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897 : 20,061 = 20,061 : x
  2. Step 2: Convert to fraction form
    9,897/20,061 = 20,061/x
  3. Step 3: Cross multiply
    9,897x = 20,061 × 20,061
  4. Step 4: Simplify right side
    9,897x = 402,443,721
  5. Step 5: Solve for x
    x = 402,443,721/9,897
  6. Step 6: Final answer
    x = 40,663.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.