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Finding the Third Proportional to 138,949,710 and 204,382,987

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Solution

The third proportional to 138,949,710 and 204,382,987 is: 300,629,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,949,710 : 204,382,987 = 204,382,987 : x
  2. Step 2: Convert to fraction form
    138,949,710/204,382,987 = 204,382,987/x
  3. Step 3: Cross multiply
    138,949,710x = 204,382,987 × 204,382,987
  4. Step 4: Simplify right side
    138,949,710x = 41,772,405,375,042,168
  5. Step 5: Solve for x
    x = 41,772,405,375,042,168/138,949,710
  6. Step 6: Final answer
    x = 300,629,669.36

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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.