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Finding the Third Proportional to 76,678,218 and 115,815,663

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Solution

The third proportional to 76,678,218 and 115,815,663 is: 174,929,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,678,218 : 115,815,663 = 115,815,663 : x
  2. Step 2: Convert to fraction form
    76,678,218/115,815,663 = 115,815,663/x
  3. Step 3: Cross multiply
    76,678,218x = 115,815,663 × 115,815,663
  4. Step 4: Simplify right side
    76,678,218x = 13,413,267,796,129,568
  5. Step 5: Solve for x
    x = 13,413,267,796,129,568/76,678,218
  6. Step 6: Final answer
    x = 174,929,310.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.