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Finding the Third Proportional to 53,866 and 78,063

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Solution

The third proportional to 53,866 and 78,063 is: 113,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,866 : 78,063 = 78,063 : x
  2. Step 2: Convert to fraction form
    53,866/78,063 = 78,063/x
  3. Step 3: Cross multiply
    53,866x = 78,063 × 78,063
  4. Step 4: Simplify right side
    53,866x = 6,093,831,969
  5. Step 5: Solve for x
    x = 6,093,831,969/53,866
  6. Step 6: Final answer
    x = 113,129.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.