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Finding the Third Proportional to 15,000.75 and 20,981.25

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Solution

The third proportional to 15,000.75 and 20,981.25 is: 29,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,000.75 : 20,981.25 = 20,981.25 : x
  2. Step 2: Convert to fraction form
    15,000.75/20,981.25 = 20,981.25/x
  3. Step 3: Cross multiply
    15,000.75x = 20,981.25 × 20,981.25
  4. Step 4: Simplify right side
    15,000.75x = 440,212,851.56
  5. Step 5: Solve for x
    x = 440,212,851.56/15,000.75
  6. Step 6: Final answer
    x = 29,346.06

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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.