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Finding the Third Proportional to 308.11 and 460.90

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Solution

The third proportional to 308.11 and 460.90 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.11 : 460.90 = 460.90 : x
  2. Step 2: Convert to fraction form
    308.11/460.90 = 460.90/x
  3. Step 3: Cross multiply
    308.11x = 460.90 × 460.90
  4. Step 4: Simplify right side
    308.11x = 212,427.37
  5. Step 5: Solve for x
    x = 212,427.37/308.11
  6. Step 6: Final answer
    x = 689.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.