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Finding the Third Proportional to 330,000 and 721,824

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Solution

The third proportional to 330,000 and 721,824 is: 1,578,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,000 : 721,824 = 721,824 : x
  2. Step 2: Convert to fraction form
    330,000/721,824 = 721,824/x
  3. Step 3: Cross multiply
    330,000x = 721,824 × 721,824
  4. Step 4: Simplify right side
    330,000x = 521,029,886,976
  5. Step 5: Solve for x
    x = 521,029,886,976/330,000
  6. Step 6: Final answer
    x = 1,578,878.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.