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Finding the Third Proportional to 9,431 and 20,347

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Solution

The third proportional to 9,431 and 20,347 is: 43,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431 : 20,347 = 20,347 : x
  2. Step 2: Convert to fraction form
    9,431/20,347 = 20,347/x
  3. Step 3: Cross multiply
    9,431x = 20,347 × 20,347
  4. Step 4: Simplify right side
    9,431x = 414,000,409
  5. Step 5: Solve for x
    x = 414,000,409/9,431
  6. Step 6: Final answer
    x = 43,897.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.