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Finding the Third Proportional to 81,384,306 and 113,837,219

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Solution

The third proportional to 81,384,306 and 113,837,219 is: 159,231,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,384,306 : 113,837,219 = 113,837,219 : x
  2. Step 2: Convert to fraction form
    81,384,306/113,837,219 = 113,837,219/x
  3. Step 3: Cross multiply
    81,384,306x = 113,837,219 × 113,837,219
  4. Step 4: Simplify right side
    81,384,306x = 12,958,912,429,653,960
  5. Step 5: Solve for x
    x = 12,958,912,429,653,960/81,384,306
  6. Step 6: Final answer
    x = 159,231,098.31

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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.