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Finding the Third Proportional to 306.09 and 497.91

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Solution

The third proportional to 306.09 and 497.91 is: 809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.09 : 497.91 = 497.91 : x
  2. Step 2: Convert to fraction form
    306.09/497.91 = 497.91/x
  3. Step 3: Cross multiply
    306.09x = 497.91 × 497.91
  4. Step 4: Simplify right side
    306.09x = 247,910.63
  5. Step 5: Solve for x
    x = 247,910.63/306.09
  6. Step 6: Final answer
    x = 809.92

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.