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Finding the Third Proportional to 648,261 and 981,339

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Solution

The third proportional to 648,261 and 981,339 is: 1,485,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,261 : 981,339 = 981,339 : x
  2. Step 2: Convert to fraction form
    648,261/981,339 = 981,339/x
  3. Step 3: Cross multiply
    648,261x = 981,339 × 981,339
  4. Step 4: Simplify right side
    648,261x = 963,026,232,921
  5. Step 5: Solve for x
    x = 963,026,232,921/648,261
  6. Step 6: Final answer
    x = 1,485,553.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.