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Finding the Third Proportional to 512,207,703 and 1,102,101,122

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Solution

The third proportional to 512,207,703 and 1,102,101,122 is: 2,371,356,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207,703 : 1,102,101,122 = 1,102,101,122 : x
  2. Step 2: Convert to fraction form
    512,207,703/1,102,101,122 = 1,102,101,122/x
  3. Step 3: Cross multiply
    512,207,703x = 1,102,101,122 × 1,102,101,122
  4. Step 4: Simplify right side
    512,207,703x = 1,214,626,883,113,658,880
  5. Step 5: Solve for x
    x = 1,214,626,883,113,658,880/512,207,703
  6. Step 6: Final answer
    x = 2,371,356,143.22

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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.