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Finding the Third Proportional to 78,138 and 110,634

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Solution

The third proportional to 78,138 and 110,634 is: 156,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138 : 110,634 = 110,634 : x
  2. Step 2: Convert to fraction form
    78,138/110,634 = 110,634/x
  3. Step 3: Cross multiply
    78,138x = 110,634 × 110,634
  4. Step 4: Simplify right side
    78,138x = 12,239,881,956
  5. Step 5: Solve for x
    x = 12,239,881,956/78,138
  6. Step 6: Final answer
    x = 156,644.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.