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Finding the Third Proportional to 427,066 and 643,394

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Solution

The third proportional to 427,066 and 643,394 is: 969,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,066 : 643,394 = 643,394 : x
  2. Step 2: Convert to fraction form
    427,066/643,394 = 643,394/x
  3. Step 3: Cross multiply
    427,066x = 643,394 × 643,394
  4. Step 4: Simplify right side
    427,066x = 413,955,839,236
  5. Step 5: Solve for x
    x = 413,955,839,236/427,066
  6. Step 6: Final answer
    x = 969,301.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.