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Finding the Third Proportional to 6,605 and 11,501

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Solution

The third proportional to 6,605 and 11,501 is: 20,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605 : 11,501 = 11,501 : x
  2. Step 2: Convert to fraction form
    6,605/11,501 = 11,501/x
  3. Step 3: Cross multiply
    6,605x = 11,501 × 11,501
  4. Step 4: Simplify right side
    6,605x = 132,273,001
  5. Step 5: Solve for x
    x = 132,273,001/6,605
  6. Step 6: Final answer
    x = 20,026.19

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.