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Finding the Third Proportional to 313.40 and 685.18

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Solution

The third proportional to 313.40 and 685.18 is: 1,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.40 : 685.18 = 685.18 : x
  2. Step 2: Convert to fraction form
    313.40/685.18 = 685.18/x
  3. Step 3: Cross multiply
    313.40x = 685.18 × 685.18
  4. Step 4: Simplify right side
    313.40x = 469,468.53
  5. Step 5: Solve for x
    x = 469,468.53/313.40
  6. Step 6: Final answer
    x = 1,497.98

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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.