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Finding the Third Proportional to 10,102.50 and 11,913.75

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Solution

The third proportional to 10,102.50 and 11,913.75 is: 14,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.50 : 11,913.75 = 11,913.75 : x
  2. Step 2: Convert to fraction form
    10,102.50/11,913.75 = 11,913.75/x
  3. Step 3: Cross multiply
    10,102.50x = 11,913.75 × 11,913.75
  4. Step 4: Simplify right side
    10,102.50x = 141,937,439.06
  5. Step 5: Solve for x
    x = 141,937,439.06/10,102.50
  6. Step 6: Final answer
    x = 14,049.73

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.