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Finding the Third Proportional to 677.03 and 1,074.28

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Solution

The third proportional to 677.03 and 1,074.28 is: 1,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.03 : 1,074.28 = 1,074.28 : x
  2. Step 2: Convert to fraction form
    677.03/1,074.28 = 1,074.28/x
  3. Step 3: Cross multiply
    677.03x = 1,074.28 × 1,074.28
  4. Step 4: Simplify right side
    677.03x = 1,154,073.91
  5. Step 5: Solve for x
    x = 1,154,073.91/677.03
  6. Step 6: Final answer
    x = 1,704.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.