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Finding the Third Proportional to 316.45 and 736.12

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Solution

The third proportional to 316.45 and 736.12 is: 1,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.45 : 736.12 = 736.12 : x
  2. Step 2: Convert to fraction form
    316.45/736.12 = 736.12/x
  3. Step 3: Cross multiply
    316.45x = 736.12 × 736.12
  4. Step 4: Simplify right side
    316.45x = 541,871.39
  5. Step 5: Solve for x
    x = 541,871.39/316.45
  6. Step 6: Final answer
    x = 1,712.37

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.