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Finding the Third Proportional to 687.98 and 1,065.70

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Solution

The third proportional to 687.98 and 1,065.70 is: 1,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.98 : 1,065.70 = 1,065.70 : x
  2. Step 2: Convert to fraction form
    687.98/1,065.70 = 1,065.70/x
  3. Step 3: Cross multiply
    687.98x = 1,065.70 × 1,065.70
  4. Step 4: Simplify right side
    687.98x = 1,135,723.15
  5. Step 5: Solve for x
    x = 1,135,723.15/687.98
  6. Step 6: Final answer
    x = 1,650.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.