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Finding the Third Proportional to 314.41 and 691.06

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Solution

The third proportional to 314.41 and 691.06 is: 1,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.41 : 691.06 = 691.06 : x
  2. Step 2: Convert to fraction form
    314.41/691.06 = 691.06/x
  3. Step 3: Cross multiply
    314.41x = 691.06 × 691.06
  4. Step 4: Simplify right side
    314.41x = 477,567.38
  5. Step 5: Solve for x
    x = 477,567.38/314.41
  6. Step 6: Final answer
    x = 1,518.95

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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.