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Finding the Third Proportional to 81,733,971 and 126,566,716.50

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Solution

The third proportional to 81,733,971 and 126,566,716.50 is: 195,991,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,733,971 : 126,566,716.50 = 126,566,716.50 : x
  2. Step 2: Convert to fraction form
    81,733,971/126,566,716.50 = 126,566,716.50/x
  3. Step 3: Cross multiply
    81,733,971x = 126,566,716.50 × 126,566,716.50
  4. Step 4: Simplify right side
    81,733,971x = 16,019,133,725,591,372
  5. Step 5: Solve for x
    x = 16,019,133,725,591,372/81,733,971
  6. Step 6: Final answer
    x = 195,991,134.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.