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Finding the Third Proportional to 18,399 and 39,248.50

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Solution

The third proportional to 18,399 and 39,248.50 is: 83,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,399 : 39,248.50 = 39,248.50 : x
  2. Step 2: Convert to fraction form
    18,399/39,248.50 = 39,248.50/x
  3. Step 3: Cross multiply
    18,399x = 39,248.50 × 39,248.50
  4. Step 4: Simplify right side
    18,399x = 1,540,444,752.25
  5. Step 5: Solve for x
    x = 1,540,444,752.25/18,399
  6. Step 6: Final answer
    x = 83,724.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.