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Finding the Third Proportional to 265,858 and 408,642

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Solution

The third proportional to 265,858 and 408,642 is: 628,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,858 : 408,642 = 408,642 : x
  2. Step 2: Convert to fraction form
    265,858/408,642 = 408,642/x
  3. Step 3: Cross multiply
    265,858x = 408,642 × 408,642
  4. Step 4: Simplify right side
    265,858x = 166,988,284,164
  5. Step 5: Solve for x
    x = 166,988,284,164/265,858
  6. Step 6: Final answer
    x = 628,110.81

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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.