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Finding the Third Proportional to 312.19 and 718.03

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Solution

The third proportional to 312.19 and 718.03 is: 1,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 718.03 = 718.03 : x
  2. Step 2: Convert to fraction form
    312.19/718.03 = 718.03/x
  3. Step 3: Cross multiply
    312.19x = 718.03 × 718.03
  4. Step 4: Simplify right side
    312.19x = 515,568.88
  5. Step 5: Solve for x
    x = 515,568.88/312.19
  6. Step 6: Final answer
    x = 1,651.47

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.