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Finding the Third Proportional to 259,190 and 405,714

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Solution

The third proportional to 259,190 and 405,714 is: 635,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,190 : 405,714 = 405,714 : x
  2. Step 2: Convert to fraction form
    259,190/405,714 = 405,714/x
  3. Step 3: Cross multiply
    259,190x = 405,714 × 405,714
  4. Step 4: Simplify right side
    259,190x = 164,603,849,796
  5. Step 5: Solve for x
    x = 164,603,849,796/259,190
  6. Step 6: Final answer
    x = 635,070.22

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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.