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Finding the Third Proportional to 334.88 and 490.13

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Solution

The third proportional to 334.88 and 490.13 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.88 : 490.13 = 490.13 : x
  2. Step 2: Convert to fraction form
    334.88/490.13 = 490.13/x
  3. Step 3: Cross multiply
    334.88x = 490.13 × 490.13
  4. Step 4: Simplify right side
    334.88x = 240,222.52
  5. Step 5: Solve for x
    x = 240,222.52/334.88
  6. Step 6: Final answer
    x = 717.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.