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Finding the Third Proportional to 55,806 and 78,054

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Solution

The third proportional to 55,806 and 78,054 is: 109,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,806 : 78,054 = 78,054 : x
  2. Step 2: Convert to fraction form
    55,806/78,054 = 78,054/x
  3. Step 3: Cross multiply
    55,806x = 78,054 × 78,054
  4. Step 4: Simplify right side
    55,806x = 6,092,426,916
  5. Step 5: Solve for x
    x = 6,092,426,916/55,806
  6. Step 6: Final answer
    x = 109,171.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.