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Finding the Third Proportional to 396,762,629 and 854,323,210

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Solution

The third proportional to 396,762,629 and 854,323,210 is: 1,839,558,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,762,629 : 854,323,210 = 854,323,210 : x
  2. Step 2: Convert to fraction form
    396,762,629/854,323,210 = 854,323,210/x
  3. Step 3: Cross multiply
    396,762,629x = 854,323,210 × 854,323,210
  4. Step 4: Simplify right side
    396,762,629x = 729,868,147,144,704,128
  5. Step 5: Solve for x
    x = 729,868,147,144,704,128/396,762,629
  6. Step 6: Final answer
    x = 1,839,558,702.86

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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.