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Finding the Third Proportional to 201,147 and 418,979

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Solution

The third proportional to 201,147 and 418,979 is: 872,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,147 : 418,979 = 418,979 : x
  2. Step 2: Convert to fraction form
    201,147/418,979 = 418,979/x
  3. Step 3: Cross multiply
    201,147x = 418,979 × 418,979
  4. Step 4: Simplify right side
    201,147x = 175,543,402,441
  5. Step 5: Solve for x
    x = 175,543,402,441/201,147
  6. Step 6: Final answer
    x = 872,712.01

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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.