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Finding the Third Proportional to 201,153.38 and 418,840.88

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Solution

The third proportional to 201,153.38 and 418,840.88 is: 872,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,153.38 : 418,840.88 = 418,840.88 : x
  2. Step 2: Convert to fraction form
    201,153.38/418,840.88 = 418,840.88/x
  3. Step 3: Cross multiply
    201,153.38x = 418,840.88 × 418,840.88
  4. Step 4: Simplify right side
    201,153.38x = 175,427,678,570.77
  5. Step 5: Solve for x
    x = 175,427,678,570.77/201,153.38
  6. Step 6: Final answer
    x = 872,109.05

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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.