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Finding the Third Proportional to 648,229 and 981,287

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Solution

The third proportional to 648,229 and 981,287 is: 1,485,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,229 : 981,287 = 981,287 : x
  2. Step 2: Convert to fraction form
    648,229/981,287 = 981,287/x
  3. Step 3: Cross multiply
    648,229x = 981,287 × 981,287
  4. Step 4: Simplify right side
    648,229x = 962,924,176,369
  5. Step 5: Solve for x
    x = 962,924,176,369/648,229
  6. Step 6: Final answer
    x = 1,485,469.14

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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.