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Finding the Third Proportional to 10,878.75 and 15,270.75

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Solution

The third proportional to 10,878.75 and 15,270.75 is: 21,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.75 : 15,270.75 = 15,270.75 : x
  2. Step 2: Convert to fraction form
    10,878.75/15,270.75 = 15,270.75/x
  3. Step 3: Cross multiply
    10,878.75x = 15,270.75 × 15,270.75
  4. Step 4: Simplify right side
    10,878.75x = 233,195,805.56
  5. Step 5: Solve for x
    x = 233,195,805.56/10,878.75
  6. Step 6: Final answer
    x = 21,435.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.