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Finding the Third Proportional to 915.05 and 1,981.97

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Solution

The third proportional to 915.05 and 1,981.97 is: 4,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.05 : 1,981.97 = 1,981.97 : x
  2. Step 2: Convert to fraction form
    915.05/1,981.97 = 1,981.97/x
  3. Step 3: Cross multiply
    915.05x = 1,981.97 × 1,981.97
  4. Step 4: Simplify right side
    915.05x = 3,928,200.13
  5. Step 5: Solve for x
    x = 3,928,200.13/915.05
  6. Step 6: Final answer
    x = 4,292.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.