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Finding the Third Proportional to 328.22 and 537.05

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Solution

The third proportional to 328.22 and 537.05 is: 878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.22 : 537.05 = 537.05 : x
  2. Step 2: Convert to fraction form
    328.22/537.05 = 537.05/x
  3. Step 3: Cross multiply
    328.22x = 537.05 × 537.05
  4. Step 4: Simplify right side
    328.22x = 288,419.35
  5. Step 5: Solve for x
    x = 288,419.35/328.22
  6. Step 6: Final answer
    x = 878.74

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.