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Finding the Third Proportional to 396,152,520 and 868,832,520

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Solution

The third proportional to 396,152,520 and 868,832,520 is: 1,905,503,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,152,520 : 868,832,520 = 868,832,520 : x
  2. Step 2: Convert to fraction form
    396,152,520/868,832,520 = 868,832,520/x
  3. Step 3: Cross multiply
    396,152,520x = 868,832,520 × 868,832,520
  4. Step 4: Simplify right side
    396,152,520x = 754,869,947,809,550,336
  5. Step 5: Solve for x
    x = 754,869,947,809,550,336/396,152,520
  6. Step 6: Final answer
    x = 1,905,503,334.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.