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Finding the Third Proportional to 202,161 and 428,966

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Solution

The third proportional to 202,161 and 428,966 is: 910,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,161 : 428,966 = 428,966 : x
  2. Step 2: Convert to fraction form
    202,161/428,966 = 428,966/x
  3. Step 3: Cross multiply
    202,161x = 428,966 × 428,966
  4. Step 4: Simplify right side
    202,161x = 184,011,829,156
  5. Step 5: Solve for x
    x = 184,011,829,156/202,161
  6. Step 6: Final answer
    x = 910,224.17

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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.