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Finding the Third Proportional to 259,192 and 405,718

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Solution

The third proportional to 259,192 and 405,718 is: 635,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,192 : 405,718 = 405,718 : x
  2. Step 2: Convert to fraction form
    259,192/405,718 = 405,718/x
  3. Step 3: Cross multiply
    259,192x = 405,718 × 405,718
  4. Step 4: Simplify right side
    259,192x = 164,607,095,524
  5. Step 5: Solve for x
    x = 164,607,095,524/259,192
  6. Step 6: Final answer
    x = 635,077.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.