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Finding the Third Proportional to 77,769.75 and 161,074.50

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Solution

The third proportional to 77,769.75 and 161,074.50 is: 333,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769.75 : 161,074.50 = 161,074.50 : x
  2. Step 2: Convert to fraction form
    77,769.75/161,074.50 = 161,074.50/x
  3. Step 3: Cross multiply
    77,769.75x = 161,074.50 × 161,074.50
  4. Step 4: Simplify right side
    77,769.75x = 25,944,994,550.25
  5. Step 5: Solve for x
    x = 25,944,994,550.25/77,769.75
  6. Step 6: Final answer
    x = 333,612.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.