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Finding the Third Proportional to 325,640 and 491,863

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Solution

The third proportional to 325,640 and 491,863 is: 742,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,640 : 491,863 = 491,863 : x
  2. Step 2: Convert to fraction form
    325,640/491,863 = 491,863/x
  3. Step 3: Cross multiply
    325,640x = 491,863 × 491,863
  4. Step 4: Simplify right side
    325,640x = 241,929,210,769
  5. Step 5: Solve for x
    x = 241,929,210,769/325,640
  6. Step 6: Final answer
    x = 742,934.56

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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.