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Finding the Third Proportional to 557,839,211 and 1,216,120,915

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Solution

The third proportional to 557,839,211 and 1,216,120,915 is: 2,651,212,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,839,211 : 1,216,120,915 = 1,216,120,915 : x
  2. Step 2: Convert to fraction form
    557,839,211/1,216,120,915 = 1,216,120,915/x
  3. Step 3: Cross multiply
    557,839,211x = 1,216,120,915 × 1,216,120,915
  4. Step 4: Simplify right side
    557,839,211x = 1,478,950,079,900,437,248
  5. Step 5: Solve for x
    x = 1,478,950,079,900,437,248/557,839,211
  6. Step 6: Final answer
    x = 2,651,212,124.82

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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.