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Finding the Third Proportional to 307.55 and 682.17

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Solution

The third proportional to 307.55 and 682.17 is: 1,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.55 : 682.17 = 682.17 : x
  2. Step 2: Convert to fraction form
    307.55/682.17 = 682.17/x
  3. Step 3: Cross multiply
    307.55x = 682.17 × 682.17
  4. Step 4: Simplify right side
    307.55x = 465,358.47
  5. Step 5: Solve for x
    x = 465,358.47/307.55
  6. Step 6: Final answer
    x = 1,513.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.