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Finding the Third Proportional to 53,260,110 and 114,747,734

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Solution

The third proportional to 53,260,110 and 114,747,734 is: 247,221,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,260,110 : 114,747,734 = 114,747,734 : x
  2. Step 2: Convert to fraction form
    53,260,110/114,747,734 = 114,747,734/x
  3. Step 3: Cross multiply
    53,260,110x = 114,747,734 × 114,747,734
  4. Step 4: Simplify right side
    53,260,110x = 13,167,042,458,134,756
  5. Step 5: Solve for x
    x = 13,167,042,458,134,756/53,260,110
  6. Step 6: Final answer
    x = 247,221,465.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.