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Finding the Third Proportional to 313.45 and 687.66

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Solution

The third proportional to 313.45 and 687.66 is: 1,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.45 : 687.66 = 687.66 : x
  2. Step 2: Convert to fraction form
    313.45/687.66 = 687.66/x
  3. Step 3: Cross multiply
    313.45x = 687.66 × 687.66
  4. Step 4: Simplify right side
    313.45x = 472,871.12
  5. Step 5: Solve for x
    x = 472,871.12/313.45
  6. Step 6: Final answer
    x = 1,508.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.