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Finding the Third Proportional to 77,559 and 111,825.75

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Solution

The third proportional to 77,559 and 111,825.75 is: 161,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,559 : 111,825.75 = 111,825.75 : x
  2. Step 2: Convert to fraction form
    77,559/111,825.75 = 111,825.75/x
  3. Step 3: Cross multiply
    77,559x = 111,825.75 × 111,825.75
  4. Step 4: Simplify right side
    77,559x = 12,504,998,363.06
  5. Step 5: Solve for x
    x = 12,504,998,363.06/77,559
  6. Step 6: Final answer
    x = 161,232.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.