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Finding the Third Proportional to 77,934 and 107,178

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Solution

The third proportional to 77,934 and 107,178 is: 147,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,934 : 107,178 = 107,178 : x
  2. Step 2: Convert to fraction form
    77,934/107,178 = 107,178/x
  3. Step 3: Cross multiply
    77,934x = 107,178 × 107,178
  4. Step 4: Simplify right side
    77,934x = 11,487,123,684
  5. Step 5: Solve for x
    x = 11,487,123,684/77,934
  6. Step 6: Final answer
    x = 147,395.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.