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Finding the Third Proportional to 314.30 and 690.82

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Solution

The third proportional to 314.30 and 690.82 is: 1,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 690.82 = 690.82 : x
  2. Step 2: Convert to fraction form
    314.30/690.82 = 690.82/x
  3. Step 3: Cross multiply
    314.30x = 690.82 × 690.82
  4. Step 4: Simplify right side
    314.30x = 477,232.70
  5. Step 5: Solve for x
    x = 477,232.70/314.30
  6. Step 6: Final answer
    x = 1,518.41

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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.