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Finding the Third Proportional to 129,261,664 and 282,846,656

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Solution

The third proportional to 129,261,664 and 282,846,656 is: 618,916,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,261,664 : 282,846,656 = 282,846,656 : x
  2. Step 2: Convert to fraction form
    129,261,664/282,846,656 = 282,846,656/x
  3. Step 3: Cross multiply
    129,261,664x = 282,846,656 × 282,846,656
  4. Step 4: Simplify right side
    129,261,664x = 80,002,230,810,382,336
  5. Step 5: Solve for x
    x = 80,002,230,810,382,336/129,261,664
  6. Step 6: Final answer
    x = 618,916,918.87

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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.