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Finding the Third Proportional to 329,280 and 718,824

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Solution

The third proportional to 329,280 and 718,824 is: 1,569,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,280 : 718,824 = 718,824 : x
  2. Step 2: Convert to fraction form
    329,280/718,824 = 718,824/x
  3. Step 3: Cross multiply
    329,280x = 718,824 × 718,824
  4. Step 4: Simplify right side
    329,280x = 516,707,942,976
  5. Step 5: Solve for x
    x = 516,707,942,976/329,280
  6. Step 6: Final answer
    x = 1,569,205.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.