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Finding the Third Proportional to 810.94 and 1,446.38

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Solution

The third proportional to 810.94 and 1,446.38 is: 2,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.94 : 1,446.38 = 1,446.38 : x
  2. Step 2: Convert to fraction form
    810.94/1,446.38 = 1,446.38/x
  3. Step 3: Cross multiply
    810.94x = 1,446.38 × 1,446.38
  4. Step 4: Simplify right side
    810.94x = 2,092,000.64
  5. Step 5: Solve for x
    x = 2,092,000.64/810.94
  6. Step 6: Final answer
    x = 2,579.73

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.