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Finding the Third Proportional to 215,790.50 and 326,684.50

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Solution

The third proportional to 215,790.50 and 326,684.50 is: 494,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,790.50 : 326,684.50 = 326,684.50 : x
  2. Step 2: Convert to fraction form
    215,790.50/326,684.50 = 326,684.50/x
  3. Step 3: Cross multiply
    215,790.50x = 326,684.50 × 326,684.50
  4. Step 4: Simplify right side
    215,790.50x = 106,722,762,540.25
  5. Step 5: Solve for x
    x = 106,722,762,540.25/215,790.50
  6. Step 6: Final answer
    x = 494,566.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.