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Finding the Third Proportional to 145.75 and 344.38

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Solution

The third proportional to 145.75 and 344.38 is: 813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.75 : 344.38 = 344.38 : x
  2. Step 2: Convert to fraction form
    145.75/344.38 = 344.38/x
  3. Step 3: Cross multiply
    145.75x = 344.38 × 344.38
  4. Step 4: Simplify right side
    145.75x = 118,594.14
  5. Step 5: Solve for x
    x = 118,594.14/145.75
  6. Step 6: Final answer
    x = 813.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.