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Finding the Third Proportional to 81,504,213 and 121,933,189.50

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Solution

The third proportional to 81,504,213 and 121,933,189.50 is: 182,416,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,504,213 : 121,933,189.50 = 121,933,189.50 : x
  2. Step 2: Convert to fraction form
    81,504,213/121,933,189.50 = 121,933,189.50/x
  3. Step 3: Cross multiply
    81,504,213x = 121,933,189.50 × 121,933,189.50
  4. Step 4: Simplify right side
    81,504,213x = 14,867,702,701,642,910
  5. Step 5: Solve for x
    x = 14,867,702,701,642,910/81,504,213
  6. Step 6: Final answer
    x = 182,416,370.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.