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Finding the Third Proportional to 31,394 and 68,692

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Solution

The third proportional to 31,394 and 68,692 is: 150,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394 : 68,692 = 68,692 : x
  2. Step 2: Convert to fraction form
    31,394/68,692 = 68,692/x
  3. Step 3: Cross multiply
    31,394x = 68,692 × 68,692
  4. Step 4: Simplify right side
    31,394x = 4,718,590,864
  5. Step 5: Solve for x
    x = 4,718,590,864/31,394
  6. Step 6: Final answer
    x = 150,302.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.