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Finding the Third Proportional to 40,128 and 86,952

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Solution

The third proportional to 40,128 and 86,952 is: 188,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,128 : 86,952 = 86,952 : x
  2. Step 2: Convert to fraction form
    40,128/86,952 = 86,952/x
  3. Step 3: Cross multiply
    40,128x = 86,952 × 86,952
  4. Step 4: Simplify right side
    40,128x = 7,560,650,304
  5. Step 5: Solve for x
    x = 7,560,650,304/40,128
  6. Step 6: Final answer
    x = 188,413.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.