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Finding the Third Proportional to 648,218 and 981,273

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Solution

The third proportional to 648,218 and 981,273 is: 1,485,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,218 : 981,273 = 981,273 : x
  2. Step 2: Convert to fraction form
    648,218/981,273 = 981,273/x
  3. Step 3: Cross multiply
    648,218x = 981,273 × 981,273
  4. Step 4: Simplify right side
    648,218x = 962,896,700,529
  5. Step 5: Solve for x
    x = 962,896,700,529/648,218
  6. Step 6: Final answer
    x = 1,485,451.96

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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.