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Finding the Third Proportional to 77,948 and 117,912

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Solution

The third proportional to 77,948 and 117,912 is: 178,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,948 : 117,912 = 117,912 : x
  2. Step 2: Convert to fraction form
    77,948/117,912 = 117,912/x
  3. Step 3: Cross multiply
    77,948x = 117,912 × 117,912
  4. Step 4: Simplify right side
    77,948x = 13,903,239,744
  5. Step 5: Solve for x
    x = 13,903,239,744/77,948
  6. Step 6: Final answer
    x = 178,365.57

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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.