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Finding the Third Proportional to 53,586 and 78,815

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Solution

The third proportional to 53,586 and 78,815 is: 115,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,586 : 78,815 = 78,815 : x
  2. Step 2: Convert to fraction form
    53,586/78,815 = 78,815/x
  3. Step 3: Cross multiply
    53,586x = 78,815 × 78,815
  4. Step 4: Simplify right side
    53,586x = 6,211,804,225
  5. Step 5: Solve for x
    x = 6,211,804,225/53,586
  6. Step 6: Final answer
    x = 115,922.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.