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Finding the Third Proportional to 334.78 and 514.98

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Solution

The third proportional to 334.78 and 514.98 is: 792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.78 : 514.98 = 514.98 : x
  2. Step 2: Convert to fraction form
    334.78/514.98 = 514.98/x
  3. Step 3: Cross multiply
    334.78x = 514.98 × 514.98
  4. Step 4: Simplify right side
    334.78x = 265,205.26
  5. Step 5: Solve for x
    x = 265,205.26/334.78
  6. Step 6: Final answer
    x = 792.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.