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Finding the Third Proportional to 82,036,212 and 126,984,559.50

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Solution

The third proportional to 82,036,212 and 126,984,559.50 is: 196,560,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,036,212 : 126,984,559.50 = 126,984,559.50 : x
  2. Step 2: Convert to fraction form
    82,036,212/126,984,559.50 = 126,984,559.50/x
  3. Step 3: Cross multiply
    82,036,212x = 126,984,559.50 × 126,984,559.50
  4. Step 4: Simplify right side
    82,036,212x = 16,125,078,351,409,040
  5. Step 5: Solve for x
    x = 16,125,078,351,409,040/82,036,212
  6. Step 6: Final answer
    x = 196,560,493.94

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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.