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Finding the Third Proportional to 55,809 and 78,063.75

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Solution

The third proportional to 55,809 and 78,063.75 is: 109,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,809 : 78,063.75 = 78,063.75 : x
  2. Step 2: Convert to fraction form
    55,809/78,063.75 = 78,063.75/x
  3. Step 3: Cross multiply
    55,809x = 78,063.75 × 78,063.75
  4. Step 4: Simplify right side
    55,809x = 6,093,949,064.06
  5. Step 5: Solve for x
    x = 6,093,949,064.06/55,809
  6. Step 6: Final answer
    x = 109,192.94

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Why These Related Problems?

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