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Finding the Third Proportional to 193,246.50 and 291,990

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Solution

The third proportional to 193,246.50 and 291,990 is: 441,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,246.50 : 291,990 = 291,990 : x
  2. Step 2: Convert to fraction form
    193,246.50/291,990 = 291,990/x
  3. Step 3: Cross multiply
    193,246.50x = 291,990 × 291,990
  4. Step 4: Simplify right side
    193,246.50x = 85,258,160,100
  5. Step 5: Solve for x
    x = 85,258,160,100/193,246.50
  6. Step 6: Final answer
    x = 441,188.64

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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.