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Finding the Third Proportional to 348.84 and 487.73

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Solution

The third proportional to 348.84 and 487.73 is: 681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.84 : 487.73 = 487.73 : x
  2. Step 2: Convert to fraction form
    348.84/487.73 = 487.73/x
  3. Step 3: Cross multiply
    348.84x = 487.73 × 487.73
  4. Step 4: Simplify right side
    348.84x = 237,884.82
  5. Step 5: Solve for x
    x = 237,884.82/348.84
  6. Step 6: Final answer
    x = 681.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.