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Finding the Third Proportional to 5,882.25 and 9,111.75

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Solution

The third proportional to 5,882.25 and 9,111.75 is: 14,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.25 : 9,111.75 = 9,111.75 : x
  2. Step 2: Convert to fraction form
    5,882.25/9,111.75 = 9,111.75/x
  3. Step 3: Cross multiply
    5,882.25x = 9,111.75 × 9,111.75
  4. Step 4: Simplify right side
    5,882.25x = 83,023,988.06
  5. Step 5: Solve for x
    x = 83,023,988.06/5,882.25
  6. Step 6: Final answer
    x = 14,114.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.