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Finding the Third Proportional to 325,638 and 491,859.75

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Solution

The third proportional to 325,638 and 491,859.75 is: 742,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,638 : 491,859.75 = 491,859.75 : x
  2. Step 2: Convert to fraction form
    325,638/491,859.75 = 491,859.75/x
  3. Step 3: Cross multiply
    325,638x = 491,859.75 × 491,859.75
  4. Step 4: Simplify right side
    325,638x = 241,926,013,670.06
  5. Step 5: Solve for x
    x = 241,926,013,670.06/325,638
  6. Step 6: Final answer
    x = 742,929.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.