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Finding the Third Proportional to 9,712 and 11,648

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Solution

The third proportional to 9,712 and 11,648 is: 13,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 11,648 = 11,648 : x
  2. Step 2: Convert to fraction form
    9,712/11,648 = 11,648/x
  3. Step 3: Cross multiply
    9,712x = 11,648 × 11,648
  4. Step 4: Simplify right side
    9,712x = 135,675,904
  5. Step 5: Solve for x
    x = 135,675,904/9,712
  6. Step 6: Final answer
    x = 13,969.92

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.