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Finding the Third Proportional to 306.69 and 461.31

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Solution

The third proportional to 306.69 and 461.31 is: 693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.69 : 461.31 = 461.31 : x
  2. Step 2: Convert to fraction form
    306.69/461.31 = 461.31/x
  3. Step 3: Cross multiply
    306.69x = 461.31 × 461.31
  4. Step 4: Simplify right side
    306.69x = 212,809.22
  5. Step 5: Solve for x
    x = 212,809.22/306.69
  6. Step 6: Final answer
    x = 693.90

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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.