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Finding the Third Proportional to 89,781,450 and 192,989,208

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Solution

The third proportional to 89,781,450 and 192,989,208 is: 414,838,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,781,450 : 192,989,208 = 192,989,208 : x
  2. Step 2: Convert to fraction form
    89,781,450/192,989,208 = 192,989,208/x
  3. Step 3: Cross multiply
    89,781,450x = 192,989,208 × 192,989,208
  4. Step 4: Simplify right side
    89,781,450x = 37,244,834,404,467,264
  5. Step 5: Solve for x
    x = 37,244,834,404,467,264/89,781,450
  6. Step 6: Final answer
    x = 414,838,860.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.