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Finding the Third Proportional to 201,219 and 426,419

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Solution

The third proportional to 201,219 and 426,419 is: 903,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,219 : 426,419 = 426,419 : x
  2. Step 2: Convert to fraction form
    201,219/426,419 = 426,419/x
  3. Step 3: Cross multiply
    201,219x = 426,419 × 426,419
  4. Step 4: Simplify right side
    201,219x = 181,833,163,561
  5. Step 5: Solve for x
    x = 181,833,163,561/201,219
  6. Step 6: Final answer
    x = 903,658.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.