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Finding the Third Proportional to 55,321,684 and 81,188,911

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Solution

The third proportional to 55,321,684 and 81,188,911 is: 119,151,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,321,684 : 81,188,911 = 81,188,911 : x
  2. Step 2: Convert to fraction form
    55,321,684/81,188,911 = 81,188,911/x
  3. Step 3: Cross multiply
    55,321,684x = 81,188,911 × 81,188,911
  4. Step 4: Simplify right side
    55,321,684x = 6,591,639,269,365,921
  5. Step 5: Solve for x
    x = 6,591,639,269,365,921/55,321,684
  6. Step 6: Final answer
    x = 119,151,095.79

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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.