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Finding the Third Proportional to 259,196 and 405,724

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Solution

The third proportional to 259,196 and 405,724 is: 635,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,196 : 405,724 = 405,724 : x
  2. Step 2: Convert to fraction form
    259,196/405,724 = 405,724/x
  3. Step 3: Cross multiply
    259,196x = 405,724 × 405,724
  4. Step 4: Simplify right side
    259,196x = 164,611,964,176
  5. Step 5: Solve for x
    x = 164,611,964,176/259,196
  6. Step 6: Final answer
    x = 635,086.82

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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.