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Finding the Third Proportional to 10,515 and 16,278.75

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Solution

The third proportional to 10,515 and 16,278.75 is: 25,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515 : 16,278.75 = 16,278.75 : x
  2. Step 2: Convert to fraction form
    10,515/16,278.75 = 16,278.75/x
  3. Step 3: Cross multiply
    10,515x = 16,278.75 × 16,278.75
  4. Step 4: Simplify right side
    10,515x = 264,997,701.56
  5. Step 5: Solve for x
    x = 264,997,701.56/10,515
  6. Step 6: Final answer
    x = 25,201.87

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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.