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Finding the Third Proportional to 129,261,696 and 282,846,720

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Solution

The third proportional to 129,261,696 and 282,846,720 is: 618,917,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,261,696 : 282,846,720 = 282,846,720 : x
  2. Step 2: Convert to fraction form
    129,261,696/282,846,720 = 282,846,720/x
  3. Step 3: Cross multiply
    129,261,696x = 282,846,720 × 282,846,720
  4. Step 4: Simplify right side
    129,261,696x = 80,002,267,014,758,400
  5. Step 5: Solve for x
    x = 80,002,267,014,758,400/129,261,696
  6. Step 6: Final answer
    x = 618,917,045.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.