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Finding the Third Proportional to 512,680,640 and 1,101,800,704

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Solution

The third proportional to 512,680,640 and 1,101,800,704 is: 2,367,877,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,680,640 : 1,101,800,704 = 1,101,800,704 : x
  2. Step 2: Convert to fraction form
    512,680,640/1,101,800,704 = 1,101,800,704/x
  3. Step 3: Cross multiply
    512,680,640x = 1,101,800,704 × 1,101,800,704
  4. Step 4: Simplify right side
    512,680,640x = 1,213,964,791,334,895,616
  5. Step 5: Solve for x
    x = 1,213,964,791,334,895,616/512,680,640
  6. Step 6: Final answer
    x = 2,367,877,186.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.