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Finding the Third Proportional to 9,731 and 20,443

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Solution

The third proportional to 9,731 and 20,443 is: 42,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731 : 20,443 = 20,443 : x
  2. Step 2: Convert to fraction form
    9,731/20,443 = 20,443/x
  3. Step 3: Cross multiply
    9,731x = 20,443 × 20,443
  4. Step 4: Simplify right side
    9,731x = 417,916,249
  5. Step 5: Solve for x
    x = 417,916,249/9,731
  6. Step 6: Final answer
    x = 42,946.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.