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Finding the Third Proportional to 912.75 and 2,094.38

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Solution

The third proportional to 912.75 and 2,094.38 is: 4,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.75 : 2,094.38 = 2,094.38 : x
  2. Step 2: Convert to fraction form
    912.75/2,094.38 = 2,094.38/x
  3. Step 3: Cross multiply
    912.75x = 2,094.38 × 2,094.38
  4. Step 4: Simplify right side
    912.75x = 4,386,406.64
  5. Step 5: Solve for x
    x = 4,386,406.64/912.75
  6. Step 6: Final answer
    x = 4,805.70

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.