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Finding the Third Proportional to 152,112,924 and 332,100,224

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Solution

The third proportional to 152,112,924 and 332,100,224 is: 725,057,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,112,924 : 332,100,224 = 332,100,224 : x
  2. Step 2: Convert to fraction form
    152,112,924/332,100,224 = 332,100,224/x
  3. Step 3: Cross multiply
    152,112,924x = 332,100,224 × 332,100,224
  4. Step 4: Simplify right side
    152,112,924x = 110,290,558,780,850,176
  5. Step 5: Solve for x
    x = 110,290,558,780,850,176/152,112,924
  6. Step 6: Final answer
    x = 725,057,121.25

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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.