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Finding the Third Proportional to 351.84 and 514.55

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Solution

The third proportional to 351.84 and 514.55 is: 752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 514.55 = 514.55 : x
  2. Step 2: Convert to fraction form
    351.84/514.55 = 514.55/x
  3. Step 3: Cross multiply
    351.84x = 514.55 × 514.55
  4. Step 4: Simplify right side
    351.84x = 264,758.49
  5. Step 5: Solve for x
    x = 264,758.49/351.84
  6. Step 6: Final answer
    x = 752.49

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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.