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Finding the Third Proportional to 81,743,212 and 136,233,236

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Solution

The third proportional to 81,743,212 and 136,233,236 is: 227,046,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,743,212 : 136,233,236 = 136,233,236 : x
  2. Step 2: Convert to fraction form
    81,743,212/136,233,236 = 136,233,236/x
  3. Step 3: Cross multiply
    81,743,212x = 136,233,236 × 136,233,236
  4. Step 4: Simplify right side
    81,743,212x = 18,559,494,591,031,696
  5. Step 5: Solve for x
    x = 18,559,494,591,031,696/81,743,212
  6. Step 6: Final answer
    x = 227,046,309.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.