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Finding the Third Proportional to 144.19 and 315.38

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Solution

The third proportional to 144.19 and 315.38 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.19 : 315.38 = 315.38 : x
  2. Step 2: Convert to fraction form
    144.19/315.38 = 315.38/x
  3. Step 3: Cross multiply
    144.19x = 315.38 × 315.38
  4. Step 4: Simplify right side
    144.19x = 99,461.39
  5. Step 5: Solve for x
    x = 99,461.39/144.19
  6. Step 6: Final answer
    x = 689.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.