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Finding the Third Proportional to 77,263,760 and 163,739,163

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Solution

The third proportional to 77,263,760 and 163,739,163 is: 346,999,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263,760 : 163,739,163 = 163,739,163 : x
  2. Step 2: Convert to fraction form
    77,263,760/163,739,163 = 163,739,163/x
  3. Step 3: Cross multiply
    77,263,760x = 163,739,163 × 163,739,163
  4. Step 4: Simplify right side
    77,263,760x = 26,810,513,499,940,568
  5. Step 5: Solve for x
    x = 26,810,513,499,940,568/77,263,760
  6. Step 6: Final answer
    x = 346,999,854.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.