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Finding the Third Proportional to 201,202.50 and 418,933.50

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Solution

The third proportional to 201,202.50 and 418,933.50 is: 872,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,202.50 : 418,933.50 = 418,933.50 : x
  2. Step 2: Convert to fraction form
    201,202.50/418,933.50 = 418,933.50/x
  3. Step 3: Cross multiply
    201,202.50x = 418,933.50 × 418,933.50
  4. Step 4: Simplify right side
    201,202.50x = 175,505,277,422.25
  5. Step 5: Solve for x
    x = 175,505,277,422.25/201,202.50
  6. Step 6: Final answer
    x = 872,281.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.