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Finding the Third Proportional to 131,965,103 and 289,943,842

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Solution

The third proportional to 131,965,103 and 289,943,842 is: 637,042,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,965,103 : 289,943,842 = 289,943,842 : x
  2. Step 2: Convert to fraction form
    131,965,103/289,943,842 = 289,943,842/x
  3. Step 3: Cross multiply
    131,965,103x = 289,943,842 × 289,943,842
  4. Step 4: Simplify right side
    131,965,103x = 84,067,431,513,720,960
  5. Step 5: Solve for x
    x = 84,067,431,513,720,960/131,965,103
  6. Step 6: Final answer
    x = 637,042,896.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.