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Finding the Third Proportional to 99,470.50 and 203,537.50

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Solution

The third proportional to 99,470.50 and 203,537.50 is: 416,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470.50 : 203,537.50 = 203,537.50 : x
  2. Step 2: Convert to fraction form
    99,470.50/203,537.50 = 203,537.50/x
  3. Step 3: Cross multiply
    99,470.50x = 203,537.50 × 203,537.50
  4. Step 4: Simplify right side
    99,470.50x = 41,427,513,906.25
  5. Step 5: Solve for x
    x = 41,427,513,906.25/99,470.50
  6. Step 6: Final answer
    x = 416,480.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.