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Finding the Third Proportional to 314.53 and 690.94

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Solution

The third proportional to 314.53 and 690.94 is: 1,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.53 : 690.94 = 690.94 : x
  2. Step 2: Convert to fraction form
    314.53/690.94 = 690.94/x
  3. Step 3: Cross multiply
    314.53x = 690.94 × 690.94
  4. Step 4: Simplify right side
    314.53x = 477,394.63
  5. Step 5: Solve for x
    x = 477,394.63/314.53
  6. Step 6: Final answer
    x = 1,517.80

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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.