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Finding the Third Proportional to 314.30 and 690.54

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Solution

The third proportional to 314.30 and 690.54 is: 1,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 690.54 = 690.54 : x
  2. Step 2: Convert to fraction form
    314.30/690.54 = 690.54/x
  3. Step 3: Cross multiply
    314.30x = 690.54 × 690.54
  4. Step 4: Simplify right side
    314.30x = 476,844.20
  5. Step 5: Solve for x
    x = 476,844.20/314.30
  6. Step 6: Final answer
    x = 1,517.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.