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Finding the Third Proportional to 325,638.38 and 491,860.31

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Solution

The third proportional to 325,638.38 and 491,860.31 is: 742,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,638.38 : 491,860.31 = 491,860.31 : x
  2. Step 2: Convert to fraction form
    325,638.38/491,860.31 = 491,860.31/x
  3. Step 3: Cross multiply
    325,638.38x = 491,860.31 × 491,860.31
  4. Step 4: Simplify right side
    325,638.38x = 241,926,567,012.60
  5. Step 5: Solve for x
    x = 241,926,567,012.60/325,638.38
  6. Step 6: Final answer
    x = 742,930.15

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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.