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Finding the Third Proportional to 77,110,560 and 102,802,608

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Solution

The third proportional to 77,110,560 and 102,802,608 is: 137,054,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110,560 : 102,802,608 = 102,802,608 : x
  2. Step 2: Convert to fraction form
    77,110,560/102,802,608 = 102,802,608/x
  3. Step 3: Cross multiply
    77,110,560x = 102,802,608 × 102,802,608
  4. Step 4: Simplify right side
    77,110,560x = 10,568,376,211,601,664
  5. Step 5: Solve for x
    x = 10,568,376,211,601,664/77,110,560
  6. Step 6: Final answer
    x = 137,054,849.71

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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.