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Finding the Third Proportional to 201,147.50 and 418,829.25

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Solution

The third proportional to 201,147.50 and 418,829.25 is: 872,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,147.50 : 418,829.25 = 418,829.25 : x
  2. Step 2: Convert to fraction form
    201,147.50/418,829.25 = 418,829.25/x
  3. Step 3: Cross multiply
    201,147.50x = 418,829.25 × 418,829.25
  4. Step 4: Simplify right side
    201,147.50x = 175,417,940,655.56
  5. Step 5: Solve for x
    x = 175,417,940,655.56/201,147.50
  6. Step 6: Final answer
    x = 872,086.11

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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.