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Finding the Third Proportional to 77,944 and 117,906

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Solution

The third proportional to 77,944 and 117,906 is: 178,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,944 : 117,906 = 117,906 : x
  2. Step 2: Convert to fraction form
    77,944/117,906 = 117,906/x
  3. Step 3: Cross multiply
    77,944x = 117,906 × 117,906
  4. Step 4: Simplify right side
    77,944x = 13,901,824,836
  5. Step 5: Solve for x
    x = 13,901,824,836/77,944
  6. Step 6: Final answer
    x = 178,356.57

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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.