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Finding the Third Proportional to 18,460 and 39,896

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Solution

The third proportional to 18,460 and 39,896 is: 86,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,460 : 39,896 = 39,896 : x
  2. Step 2: Convert to fraction form
    18,460/39,896 = 39,896/x
  3. Step 3: Cross multiply
    18,460x = 39,896 × 39,896
  4. Step 4: Simplify right side
    18,460x = 1,591,690,816
  5. Step 5: Solve for x
    x = 1,591,690,816/18,460
  6. Step 6: Final answer
    x = 86,223.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.