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Finding the Third Proportional to 201,138.50 and 418,962.50

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Solution

The third proportional to 201,138.50 and 418,962.50 is: 872,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.50 : 418,962.50 = 418,962.50 : x
  2. Step 2: Convert to fraction form
    201,138.50/418,962.50 = 418,962.50/x
  3. Step 3: Cross multiply
    201,138.50x = 418,962.50 × 418,962.50
  4. Step 4: Simplify right side
    201,138.50x = 175,529,576,406.25
  5. Step 5: Solve for x
    x = 175,529,576,406.25/201,138.50
  6. Step 6: Final answer
    x = 872,680.15

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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.