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Finding the Third Proportional to 717,915,630 and 1,561,616,916

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Solution

The third proportional to 717,915,630 and 1,561,616,916 is: 3,396,843,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,915,630 : 1,561,616,916 = 1,561,616,916 : x
  2. Step 2: Convert to fraction form
    717,915,630/1,561,616,916 = 1,561,616,916/x
  3. Step 3: Cross multiply
    717,915,630x = 1,561,616,916 × 1,561,616,916
  4. Step 4: Simplify right side
    717,915,630x = 2,438,647,392,337,351,168
  5. Step 5: Solve for x
    x = 2,438,647,392,337,351,168/717,915,630
  6. Step 6: Final answer
    x = 3,396,843,988.95

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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.