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Finding the Third Proportional to 77,980 and 111,138

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Solution

The third proportional to 77,980 and 111,138 is: 158,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980 : 111,138 = 111,138 : x
  2. Step 2: Convert to fraction form
    77,980/111,138 = 111,138/x
  3. Step 3: Cross multiply
    77,980x = 111,138 × 111,138
  4. Step 4: Simplify right side
    77,980x = 12,351,655,044
  5. Step 5: Solve for x
    x = 12,351,655,044/77,980
  6. Step 6: Final answer
    x = 158,395.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.