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Finding the Third Proportional to 196,966 and 288,463

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Solution

The third proportional to 196,966 and 288,463 is: 422,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,966 : 288,463 = 288,463 : x
  2. Step 2: Convert to fraction form
    196,966/288,463 = 288,463/x
  3. Step 3: Cross multiply
    196,966x = 288,463 × 288,463
  4. Step 4: Simplify right side
    196,966x = 83,210,902,369
  5. Step 5: Solve for x
    x = 83,210,902,369/196,966
  6. Step 6: Final answer
    x = 422,463.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.