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Finding the Third Proportional to 814.43 and 1,256.77

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Solution

The third proportional to 814.43 and 1,256.77 is: 1,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.43 : 1,256.77 = 1,256.77 : x
  2. Step 2: Convert to fraction form
    814.43/1,256.77 = 1,256.77/x
  3. Step 3: Cross multiply
    814.43x = 1,256.77 × 1,256.77
  4. Step 4: Simplify right side
    814.43x = 1,579,459.84
  5. Step 5: Solve for x
    x = 1,579,459.84/814.43
  6. Step 6: Final answer
    x = 1,939.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.