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Finding the Third Proportional to 138,949,671 and 204,382,930.50

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Solution

The third proportional to 138,949,671 and 204,382,930.50 is: 300,629,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,949,671 : 204,382,930.50 = 204,382,930.50 : x
  2. Step 2: Convert to fraction form
    138,949,671/204,382,930.50 = 204,382,930.50/x
  3. Step 3: Cross multiply
    138,949,671x = 204,382,930.50 × 204,382,930.50
  4. Step 4: Simplify right side
    138,949,671x = 41,772,382,279,767,832
  5. Step 5: Solve for x
    x = 41,772,382,279,767,832/138,949,671
  6. Step 6: Final answer
    x = 300,629,587.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.