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Finding the Third Proportional to 413,258 and 638,311

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Solution

The third proportional to 413,258 and 638,311 is: 985,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,258 : 638,311 = 638,311 : x
  2. Step 2: Convert to fraction form
    413,258/638,311 = 638,311/x
  3. Step 3: Cross multiply
    413,258x = 638,311 × 638,311
  4. Step 4: Simplify right side
    413,258x = 407,440,932,721
  5. Step 5: Solve for x
    x = 407,440,932,721/413,258
  6. Step 6: Final answer
    x = 985,923.88

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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.