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Finding the Third Proportional to 638,906,960 and 981,439,324

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Solution

The third proportional to 638,906,960 and 981,439,324 is: 1,507,610,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,906,960 : 981,439,324 = 981,439,324 : x
  2. Step 2: Convert to fraction form
    638,906,960/981,439,324 = 981,439,324/x
  3. Step 3: Cross multiply
    638,906,960x = 981,439,324 × 981,439,324
  4. Step 4: Simplify right side
    638,906,960x = 963,223,146,693,576,960
  5. Step 5: Solve for x
    x = 963,223,146,693,576,960/638,906,960
  6. Step 6: Final answer
    x = 1,507,610,977.81

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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.