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Finding the Third Proportional to 330,456 and 498,780

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Solution

The third proportional to 330,456 and 498,780 is: 752,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,456 : 498,780 = 498,780 : x
  2. Step 2: Convert to fraction form
    330,456/498,780 = 498,780/x
  3. Step 3: Cross multiply
    330,456x = 498,780 × 498,780
  4. Step 4: Simplify right side
    330,456x = 248,781,488,400
  5. Step 5: Solve for x
    x = 248,781,488,400/330,456
  6. Step 6: Final answer
    x = 752,843.01

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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.