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Finding the Third Proportional to 121,735,729 and 247,722,972

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Solution

The third proportional to 121,735,729 and 247,722,972 is: 504,097,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,735,729 : 247,722,972 = 247,722,972 : x
  2. Step 2: Convert to fraction form
    121,735,729/247,722,972 = 247,722,972/x
  3. Step 3: Cross multiply
    121,735,729x = 247,722,972 × 247,722,972
  4. Step 4: Simplify right side
    121,735,729x = 61,366,670,856,512,784
  5. Step 5: Solve for x
    x = 61,366,670,856,512,784/121,735,729
  6. Step 6: Final answer
    x = 504,097,452.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.