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Finding the Third Proportional to 201,173 and 418,713

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Solution

The third proportional to 201,173 and 418,713 is: 871,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,173 : 418,713 = 418,713 : x
  2. Step 2: Convert to fraction form
    201,173/418,713 = 418,713/x
  3. Step 3: Cross multiply
    201,173x = 418,713 × 418,713
  4. Step 4: Simplify right side
    201,173x = 175,320,576,369
  5. Step 5: Solve for x
    x = 175,320,576,369/201,173
  6. Step 6: Final answer
    x = 871,491.58

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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.