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Finding the Third Proportional to 258,630 and 401,394

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Solution

The third proportional to 258,630 and 401,394 is: 622,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,630 : 401,394 = 401,394 : x
  2. Step 2: Convert to fraction form
    258,630/401,394 = 401,394/x
  3. Step 3: Cross multiply
    258,630x = 401,394 × 401,394
  4. Step 4: Simplify right side
    258,630x = 161,117,143,236
  5. Step 5: Solve for x
    x = 161,117,143,236/258,630
  6. Step 6: Final answer
    x = 622,963.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.