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Finding the Third Proportional to 10,120 and 11,008

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Solution

The third proportional to 10,120 and 11,008 is: 11,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120 : 11,008 = 11,008 : x
  2. Step 2: Convert to fraction form
    10,120/11,008 = 11,008/x
  3. Step 3: Cross multiply
    10,120x = 11,008 × 11,008
  4. Step 4: Simplify right side
    10,120x = 121,176,064
  5. Step 5: Solve for x
    x = 121,176,064/10,120
  6. Step 6: Final answer
    x = 11,973.92

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.