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Finding the Third Proportional to 638,906,944 and 981,439,296

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Solution

The third proportional to 638,906,944 and 981,439,296 is: 1,507,610,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,906,944 : 981,439,296 = 981,439,296 : x
  2. Step 2: Convert to fraction form
    638,906,944/981,439,296 = 981,439,296/x
  3. Step 3: Cross multiply
    638,906,944x = 981,439,296 × 981,439,296
  4. Step 4: Simplify right side
    638,906,944x = 963,223,091,732,975,616
  5. Step 5: Solve for x
    x = 963,223,091,732,975,616/638,906,944
  6. Step 6: Final answer
    x = 1,507,610,929.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.