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Finding the Third Proportional to 121,946,272 and 261,575,144

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Solution

The third proportional to 121,946,272 and 261,575,144 is: 561,079,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,946,272 : 261,575,144 = 261,575,144 : x
  2. Step 2: Convert to fraction form
    121,946,272/261,575,144 = 261,575,144/x
  3. Step 3: Cross multiply
    121,946,272x = 261,575,144 × 261,575,144
  4. Step 4: Simplify right side
    121,946,272x = 68,421,555,958,620,736
  5. Step 5: Solve for x
    x = 68,421,555,958,620,736/121,946,272
  6. Step 6: Final answer
    x = 561,079,521.63

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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.