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Finding the Third Proportional to 138,949,672 and 204,382,932

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Solution

The third proportional to 138,949,672 and 204,382,932 is: 300,629,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,949,672 : 204,382,932 = 204,382,932 : x
  2. Step 2: Convert to fraction form
    138,949,672/204,382,932 = 204,382,932/x
  3. Step 3: Cross multiply
    138,949,672x = 204,382,932 × 204,382,932
  4. Step 4: Simplify right side
    138,949,672x = 41,772,382,892,916,624
  5. Step 5: Solve for x
    x = 41,772,382,892,916,624/138,949,672
  6. Step 6: Final answer
    x = 300,629,589.78

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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.