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Finding the Third Proportional to 81,282,736 and 123,829,684

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Solution

The third proportional to 81,282,736 and 123,829,684 is: 188,647,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282,736 : 123,829,684 = 123,829,684 : x
  2. Step 2: Convert to fraction form
    81,282,736/123,829,684 = 123,829,684/x
  3. Step 3: Cross multiply
    81,282,736x = 123,829,684 × 123,829,684
  4. Step 4: Simplify right side
    81,282,736x = 15,333,790,639,539,856
  5. Step 5: Solve for x
    x = 15,333,790,639,539,856/81,282,736
  6. Step 6: Final answer
    x = 188,647,570.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.