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Finding the Third Proportional to 201,221 and 426,428

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Solution

The third proportional to 201,221 and 426,428 is: 903,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,221 : 426,428 = 426,428 : x
  2. Step 2: Convert to fraction form
    201,221/426,428 = 426,428/x
  3. Step 3: Cross multiply
    201,221x = 426,428 × 426,428
  4. Step 4: Simplify right side
    201,221x = 181,840,839,184
  5. Step 5: Solve for x
    x = 181,840,839,184/201,221
  6. Step 6: Final answer
    x = 903,687.19

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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.