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Finding the Third Proportional to 670.78 and 1,723.78

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Solution

The third proportional to 670.78 and 1,723.78 is: 4,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.78 : 1,723.78 = 1,723.78 : x
  2. Step 2: Convert to fraction form
    670.78/1,723.78 = 1,723.78/x
  3. Step 3: Cross multiply
    670.78x = 1,723.78 × 1,723.78
  4. Step 4: Simplify right side
    670.78x = 2,971,421.80
  5. Step 5: Solve for x
    x = 2,971,421.80/670.78
  6. Step 6: Final answer
    x = 4,429.79

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.