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Finding the Third Proportional to 20,908.50 and 45,015

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Solution

The third proportional to 20,908.50 and 45,015 is: 96,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908.50 : 45,015 = 45,015 : x
  2. Step 2: Convert to fraction form
    20,908.50/45,015 = 45,015/x
  3. Step 3: Cross multiply
    20,908.50x = 45,015 × 45,015
  4. Step 4: Simplify right side
    20,908.50x = 2,026,350,225
  5. Step 5: Solve for x
    x = 2,026,350,225/20,908.50
  6. Step 6: Final answer
    x = 96,915.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.