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Finding the Third Proportional to 205,189.88 and 306,961.31

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Solution

The third proportional to 205,189.88 and 306,961.31 is: 459,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,189.88 : 306,961.31 = 306,961.31 : x
  2. Step 2: Convert to fraction form
    205,189.88/306,961.31 = 306,961.31/x
  3. Step 3: Cross multiply
    205,189.88x = 306,961.31 × 306,961.31
  4. Step 4: Simplify right side
    205,189.88x = 94,225,247,371.72
  5. Step 5: Solve for x
    x = 94,225,247,371.72/205,189.88
  6. Step 6: Final answer
    x = 459,210.02

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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.