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Finding the Third Proportional to 327,300 and 718,920

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Solution

The third proportional to 327,300 and 718,920 is: 1,579,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,300 : 718,920 = 718,920 : x
  2. Step 2: Convert to fraction form
    327,300/718,920 = 718,920/x
  3. Step 3: Cross multiply
    327,300x = 718,920 × 718,920
  4. Step 4: Simplify right side
    327,300x = 516,845,966,400
  5. Step 5: Solve for x
    x = 516,845,966,400/327,300
  6. Step 6: Final answer
    x = 1,579,119.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.