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Finding the Third Proportional to 332,190,112.50 and 726,940,180.13

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Solution

The third proportional to 332,190,112.50 and 726,940,180.13 is: 1,590,781,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,190,112.50 : 726,940,180.13 = 726,940,180.13 : x
  2. Step 2: Convert to fraction form
    332,190,112.50/726,940,180.13 = 726,940,180.13/x
  3. Step 3: Cross multiply
    332,190,112.50x = 726,940,180.13 × 726,940,180.13
  4. Step 4: Simplify right side
    332,190,112.50x = 528,442,025,480,167,424
  5. Step 5: Solve for x
    x = 528,442,025,480,167,424/332,190,112.50
  6. Step 6: Final answer
    x = 1,590,781,921.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.