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Finding the Third Proportional to 205,177.50 and 306,945

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Solution

The third proportional to 205,177.50 and 306,945 is: 459,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,177.50 : 306,945 = 306,945 : x
  2. Step 2: Convert to fraction form
    205,177.50/306,945 = 306,945/x
  3. Step 3: Cross multiply
    205,177.50x = 306,945 × 306,945
  4. Step 4: Simplify right side
    205,177.50x = 94,215,233,025
  5. Step 5: Solve for x
    x = 94,215,233,025/205,177.50
  6. Step 6: Final answer
    x = 459,188.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.