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Finding the Third Proportional to 19,757 and 36,712

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Solution

The third proportional to 19,757 and 36,712 is: 68,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757 : 36,712 = 36,712 : x
  2. Step 2: Convert to fraction form
    19,757/36,712 = 36,712/x
  3. Step 3: Cross multiply
    19,757x = 36,712 × 36,712
  4. Step 4: Simplify right side
    19,757x = 1,347,770,944
  5. Step 5: Solve for x
    x = 1,347,770,944/19,757
  6. Step 6: Final answer
    x = 68,217.39

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.