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Finding the Third Proportional to 201,139 and 418,963

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Solution

The third proportional to 201,139 and 418,963 is: 872,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,139 : 418,963 = 418,963 : x
  2. Step 2: Convert to fraction form
    201,139/418,963 = 418,963/x
  3. Step 3: Cross multiply
    201,139x = 418,963 × 418,963
  4. Step 4: Simplify right side
    201,139x = 175,529,995,369
  5. Step 5: Solve for x
    x = 175,529,995,369/201,139
  6. Step 6: Final answer
    x = 872,680.06

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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.