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Finding the Third Proportional to 39,040 and 83,998

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Solution

The third proportional to 39,040 and 83,998 is: 180,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,040 : 83,998 = 83,998 : x
  2. Step 2: Convert to fraction form
    39,040/83,998 = 83,998/x
  3. Step 3: Cross multiply
    39,040x = 83,998 × 83,998
  4. Step 4: Simplify right side
    39,040x = 7,055,664,004
  5. Step 5: Solve for x
    x = 7,055,664,004/39,040
  6. Step 6: Final answer
    x = 180,729.10

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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.