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Finding the Third Proportional to 330,338 and 498,603

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Solution

The third proportional to 330,338 and 498,603 is: 752,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,338 : 498,603 = 498,603 : x
  2. Step 2: Convert to fraction form
    330,338/498,603 = 498,603/x
  3. Step 3: Cross multiply
    330,338x = 498,603 × 498,603
  4. Step 4: Simplify right side
    330,338x = 248,604,951,609
  5. Step 5: Solve for x
    x = 248,604,951,609/330,338
  6. Step 6: Final answer
    x = 752,577.52

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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.