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Finding the Third Proportional to 9,725 and 20,431

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Solution

The third proportional to 9,725 and 20,431 is: 42,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725 : 20,431 = 20,431 : x
  2. Step 2: Convert to fraction form
    9,725/20,431 = 20,431/x
  3. Step 3: Cross multiply
    9,725x = 20,431 × 20,431
  4. Step 4: Simplify right side
    9,725x = 417,425,761
  5. Step 5: Solve for x
    x = 417,425,761/9,725
  6. Step 6: Final answer
    x = 42,922.96

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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.