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Finding the Third Proportional to 258.84 and 404.02

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Solution

The third proportional to 258.84 and 404.02 is: 630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.84 : 404.02 = 404.02 : x
  2. Step 2: Convert to fraction form
    258.84/404.02 = 404.02/x
  3. Step 3: Cross multiply
    258.84x = 404.02 × 404.02
  4. Step 4: Simplify right side
    258.84x = 163,228.63
  5. Step 5: Solve for x
    x = 163,228.63/258.84
  6. Step 6: Final answer
    x = 630.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.