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Finding the Third Proportional to 121,854,144 and 263,771,520

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Solution

The third proportional to 121,854,144 and 263,771,520 is: 570,972,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,854,144 : 263,771,520 = 263,771,520 : x
  2. Step 2: Convert to fraction form
    121,854,144/263,771,520 = 263,771,520/x
  3. Step 3: Cross multiply
    121,854,144x = 263,771,520 × 263,771,520
  4. Step 4: Simplify right side
    121,854,144x = 69,575,414,763,110,400
  5. Step 5: Solve for x
    x = 69,575,414,763,110,400/121,854,144
  6. Step 6: Final answer
    x = 570,972,906.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.