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Finding the Third Proportional to 138,949,680 and 204,382,944

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Solution

The third proportional to 138,949,680 and 204,382,944 is: 300,629,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,949,680 : 204,382,944 = 204,382,944 : x
  2. Step 2: Convert to fraction form
    138,949,680/204,382,944 = 204,382,944/x
  3. Step 3: Cross multiply
    138,949,680x = 204,382,944 × 204,382,944
  4. Step 4: Simplify right side
    138,949,680x = 41,772,387,798,107,136
  5. Step 5: Solve for x
    x = 41,772,387,798,107,136/138,949,680
  6. Step 6: Final answer
    x = 300,629,607.77

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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.