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Finding the Third Proportional to 81,384,300 and 113,837,210

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Solution

The third proportional to 81,384,300 and 113,837,210 is: 159,231,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,384,300 : 113,837,210 = 113,837,210 : x
  2. Step 2: Convert to fraction form
    81,384,300/113,837,210 = 113,837,210/x
  3. Step 3: Cross multiply
    81,384,300x = 113,837,210 × 113,837,210
  4. Step 4: Simplify right side
    81,384,300x = 12,958,910,380,584,100
  5. Step 5: Solve for x
    x = 12,958,910,380,584,100/81,384,300
  6. Step 6: Final answer
    x = 159,231,084.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.