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Finding the Third Proportional to 138,949,708 and 204,382,984

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Solution

The third proportional to 138,949,708 and 204,382,984 is: 300,629,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,949,708 : 204,382,984 = 204,382,984 : x
  2. Step 2: Convert to fraction form
    138,949,708/204,382,984 = 204,382,984/x
  3. Step 3: Cross multiply
    138,949,708x = 204,382,984 × 204,382,984
  4. Step 4: Simplify right side
    138,949,708x = 41,772,404,148,744,256
  5. Step 5: Solve for x
    x = 41,772,404,148,744,256/138,949,708
  6. Step 6: Final answer
    x = 300,629,664.86

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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.