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Finding the Third Proportional to 257,990,791 and 561,329,198

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Solution

The third proportional to 257,990,791 and 561,329,198 is: 1,221,324,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,990,791 : 561,329,198 = 561,329,198 : x
  2. Step 2: Convert to fraction form
    257,990,791/561,329,198 = 561,329,198/x
  3. Step 3: Cross multiply
    257,990,791x = 561,329,198 × 561,329,198
  4. Step 4: Simplify right side
    257,990,791x = 315,090,468,527,323,200
  5. Step 5: Solve for x
    x = 315,090,468,527,323,200/257,990,791
  6. Step 6: Final answer
    x = 1,221,324,479.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.