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Finding the Third Proportional to 86,816,265.75 and 191,120,289.75

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Solution

The third proportional to 86,816,265.75 and 191,120,289.75 is: 420,738,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,816,265.75 : 191,120,289.75 = 191,120,289.75 : x
  2. Step 2: Convert to fraction form
    86,816,265.75/191,120,289.75 = 191,120,289.75/x
  3. Step 3: Cross multiply
    86,816,265.75x = 191,120,289.75 × 191,120,289.75
  4. Step 4: Simplify right side
    86,816,265.75x = 36,526,965,154,123,952
  5. Step 5: Solve for x
    x = 36,526,965,154,123,952/86,816,265.75
  6. Step 6: Final answer
    x = 420,738,727.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.