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Finding the Third Proportional to 9,901 and 20,617

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Solution

The third proportional to 9,901 and 20,617 is: 42,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901 : 20,617 = 20,617 : x
  2. Step 2: Convert to fraction form
    9,901/20,617 = 20,617/x
  3. Step 3: Cross multiply
    9,901x = 20,617 × 20,617
  4. Step 4: Simplify right side
    9,901x = 425,060,689
  5. Step 5: Solve for x
    x = 425,060,689/9,901
  6. Step 6: Final answer
    x = 42,931.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.