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Finding the Third Proportional to 145.97 and 323.26

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Solution

The third proportional to 145.97 and 323.26 is: 715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 323.26 = 323.26 : x
  2. Step 2: Convert to fraction form
    145.97/323.26 = 323.26/x
  3. Step 3: Cross multiply
    145.97x = 323.26 × 323.26
  4. Step 4: Simplify right side
    145.97x = 104,498.14
  5. Step 5: Solve for x
    x = 104,498.14/145.97
  6. Step 6: Final answer
    x = 715.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.