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Finding the Third Proportional to 931.78 and 2,191.78

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Solution

The third proportional to 931.78 and 2,191.78 is: 5,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.78 : 2,191.78 = 2,191.78 : x
  2. Step 2: Convert to fraction form
    931.78/2,191.78 = 2,191.78/x
  3. Step 3: Cross multiply
    931.78x = 2,191.78 × 2,191.78
  4. Step 4: Simplify right side
    931.78x = 4,803,905.05
  5. Step 5: Solve for x
    x = 4,803,905.05/931.78
  6. Step 6: Final answer
    x = 5,155.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.