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Finding the Third Proportional to 152,112,920 and 332,100,216

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Solution

The third proportional to 152,112,920 and 332,100,216 is: 725,057,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,112,920 : 332,100,216 = 332,100,216 : x
  2. Step 2: Convert to fraction form
    152,112,920/332,100,216 = 332,100,216/x
  3. Step 3: Cross multiply
    152,112,920x = 332,100,216 × 332,100,216
  4. Step 4: Simplify right side
    152,112,920x = 110,290,553,467,246,656
  5. Step 5: Solve for x
    x = 110,290,553,467,246,656/152,112,920
  6. Step 6: Final answer
    x = 725,057,105.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.