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Finding the Third Proportional to 77,110,568 and 102,802,620

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Solution

The third proportional to 77,110,568 and 102,802,620 is: 137,054,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110,568 : 102,802,620 = 102,802,620 : x
  2. Step 2: Convert to fraction form
    77,110,568/102,802,620 = 102,802,620/x
  3. Step 3: Cross multiply
    77,110,568x = 102,802,620 × 102,802,620
  4. Step 4: Simplify right side
    77,110,568x = 10,568,378,678,864,400
  5. Step 5: Solve for x
    x = 10,568,378,678,864,400/77,110,568
  6. Step 6: Final answer
    x = 137,054,867.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.