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Finding the Third Proportional to 52,056 and 78,192

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Solution

The third proportional to 52,056 and 78,192 is: 117,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,056 : 78,192 = 78,192 : x
  2. Step 2: Convert to fraction form
    52,056/78,192 = 78,192/x
  3. Step 3: Cross multiply
    52,056x = 78,192 × 78,192
  4. Step 4: Simplify right side
    52,056x = 6,113,988,864
  5. Step 5: Solve for x
    x = 6,113,988,864/52,056
  6. Step 6: Final answer
    x = 117,450.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.