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Finding the Third Proportional to 354.75 and 529.13

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Solution

The third proportional to 354.75 and 529.13 is: 789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.75 : 529.13 = 529.13 : x
  2. Step 2: Convert to fraction form
    354.75/529.13 = 529.13/x
  3. Step 3: Cross multiply
    354.75x = 529.13 × 529.13
  4. Step 4: Simplify right side
    354.75x = 279,973.27
  5. Step 5: Solve for x
    x = 279,973.27/354.75
  6. Step 6: Final answer
    x = 789.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.