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Finding the Third Proportional to 77,284,868 and 166,676,288

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Solution

The third proportional to 77,284,868 and 166,676,288 is: 359,462,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,868 : 166,676,288 = 166,676,288 : x
  2. Step 2: Convert to fraction form
    77,284,868/166,676,288 = 166,676,288/x
  3. Step 3: Cross multiply
    77,284,868x = 166,676,288 × 166,676,288
  4. Step 4: Simplify right side
    77,284,868x = 27,780,984,981,458,944
  5. Step 5: Solve for x
    x = 27,780,984,981,458,944/77,284,868
  6. Step 6: Final answer
    x = 359,462,152.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.