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Finding the Third Proportional to 351.88 and 539.13

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Solution

The third proportional to 351.88 and 539.13 is: 826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.88 : 539.13 = 539.13 : x
  2. Step 2: Convert to fraction form
    351.88/539.13 = 539.13/x
  3. Step 3: Cross multiply
    351.88x = 539.13 × 539.13
  4. Step 4: Simplify right side
    351.88x = 290,655.77
  5. Step 5: Solve for x
    x = 290,655.77/351.88
  6. Step 6: Final answer
    x = 826.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.