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Finding the Third Proportional to 77,980 and 117,538

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Solution

The third proportional to 77,980 and 117,538 is: 177,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980 : 117,538 = 117,538 : x
  2. Step 2: Convert to fraction form
    77,980/117,538 = 117,538/x
  3. Step 3: Cross multiply
    77,980x = 117,538 × 117,538
  4. Step 4: Simplify right side
    77,980x = 13,815,181,444
  5. Step 5: Solve for x
    x = 13,815,181,444/77,980
  6. Step 6: Final answer
    x = 177,163.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.