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Finding the Third Proportional to 9,116.25 and 11,649.38

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Solution

The third proportional to 9,116.25 and 11,649.38 is: 14,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.25 : 11,649.38 = 11,649.38 : x
  2. Step 2: Convert to fraction form
    9,116.25/11,649.38 = 11,649.38/x
  3. Step 3: Cross multiply
    9,116.25x = 11,649.38 × 11,649.38
  4. Step 4: Simplify right side
    9,116.25x = 135,707,937.89
  5. Step 5: Solve for x
    x = 135,707,937.89/9,116.25
  6. Step 6: Final answer
    x = 14,886.38

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.