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Finding the Third Proportional to 31,970 and 68,644

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Solution

The third proportional to 31,970 and 68,644 is: 147,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970 : 68,644 = 68,644 : x
  2. Step 2: Convert to fraction form
    31,970/68,644 = 68,644/x
  3. Step 3: Cross multiply
    31,970x = 68,644 × 68,644
  4. Step 4: Simplify right side
    31,970x = 4,711,998,736
  5. Step 5: Solve for x
    x = 4,711,998,736/31,970
  6. Step 6: Final answer
    x = 147,388.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.