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Finding the Third Proportional to 417,174 and 646,256

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Solution

The third proportional to 417,174 and 646,256 is: 1,001,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,174 : 646,256 = 646,256 : x
  2. Step 2: Convert to fraction form
    417,174/646,256 = 646,256/x
  3. Step 3: Cross multiply
    417,174x = 646,256 × 646,256
  4. Step 4: Simplify right side
    417,174x = 417,646,817,536
  5. Step 5: Solve for x
    x = 417,646,817,536/417,174
  6. Step 6: Final answer
    x = 1,001,133.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.