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Finding the Third Proportional to 142,160,496.50 and 218,413,891

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Solution

The third proportional to 142,160,496.50 and 218,413,891 is: 335,568,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,160,496.50 : 218,413,891 = 218,413,891 : x
  2. Step 2: Convert to fraction form
    142,160,496.50/218,413,891 = 218,413,891/x
  3. Step 3: Cross multiply
    142,160,496.50x = 218,413,891 × 218,413,891
  4. Step 4: Simplify right side
    142,160,496.50x = 47,704,627,781,759,880
  5. Step 5: Solve for x
    x = 47,704,627,781,759,880/142,160,496.50
  6. Step 6: Final answer
    x = 335,568,803.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.