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Finding the Third Proportional to 9,692 and 13,010

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Solution

The third proportional to 9,692 and 13,010 is: 17,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692 : 13,010 = 13,010 : x
  2. Step 2: Convert to fraction form
    9,692/13,010 = 13,010/x
  3. Step 3: Cross multiply
    9,692x = 13,010 × 13,010
  4. Step 4: Simplify right side
    9,692x = 169,260,100
  5. Step 5: Solve for x
    x = 169,260,100/9,692
  6. Step 6: Final answer
    x = 17,463.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.