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Finding the Third Proportional to 817.88 and 1,678.78

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Solution

The third proportional to 817.88 and 1,678.78 is: 3,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.88 : 1,678.78 = 1,678.78 : x
  2. Step 2: Convert to fraction form
    817.88/1,678.78 = 1,678.78/x
  3. Step 3: Cross multiply
    817.88x = 1,678.78 × 1,678.78
  4. Step 4: Simplify right side
    817.88x = 2,818,306.49
  5. Step 5: Solve for x
    x = 2,818,306.49/817.88
  6. Step 6: Final answer
    x = 3,445.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.