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Finding the Third Proportional to 306.12 and 720.46

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Solution

The third proportional to 306.12 and 720.46 is: 1,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.12 : 720.46 = 720.46 : x
  2. Step 2: Convert to fraction form
    306.12/720.46 = 720.46/x
  3. Step 3: Cross multiply
    306.12x = 720.46 × 720.46
  4. Step 4: Simplify right side
    306.12x = 519,058.33
  5. Step 5: Solve for x
    x = 519,058.33/306.12
  6. Step 6: Final answer
    x = 1,695.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.