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Finding the Third Proportional to 27,201 and 39,870

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Solution

The third proportional to 27,201 and 39,870 is: 58,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201 : 39,870 = 39,870 : x
  2. Step 2: Convert to fraction form
    27,201/39,870 = 39,870/x
  3. Step 3: Cross multiply
    27,201x = 39,870 × 39,870
  4. Step 4: Simplify right side
    27,201x = 1,589,616,900
  5. Step 5: Solve for x
    x = 1,589,616,900/27,201
  6. Step 6: Final answer
    x = 58,439.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.