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Finding the Third Proportional to 135,289.50 and 292,245

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Solution

The third proportional to 135,289.50 and 292,245 is: 631,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,289.50 : 292,245 = 292,245 : x
  2. Step 2: Convert to fraction form
    135,289.50/292,245 = 292,245/x
  3. Step 3: Cross multiply
    135,289.50x = 292,245 × 292,245
  4. Step 4: Simplify right side
    135,289.50x = 85,407,140,025
  5. Step 5: Solve for x
    x = 85,407,140,025/135,289.50
  6. Step 6: Final answer
    x = 631,291.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.