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Finding the Third Proportional to 213,088.50 and 323,520.75

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Solution

The third proportional to 213,088.50 and 323,520.75 is: 491,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,088.50 : 323,520.75 = 323,520.75 : x
  2. Step 2: Convert to fraction form
    213,088.50/323,520.75 = 323,520.75/x
  3. Step 3: Cross multiply
    213,088.50x = 323,520.75 × 323,520.75
  4. Step 4: Simplify right side
    213,088.50x = 104,665,675,680.56
  5. Step 5: Solve for x
    x = 104,665,675,680.56/213,088.50
  6. Step 6: Final answer
    x = 491,184.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.