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Finding the Third Proportional to 330,600 and 491,040

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Solution

The third proportional to 330,600 and 491,040 is: 729,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,600 : 491,040 = 491,040 : x
  2. Step 2: Convert to fraction form
    330,600/491,040 = 491,040/x
  3. Step 3: Cross multiply
    330,600x = 491,040 × 491,040
  4. Step 4: Simplify right side
    330,600x = 241,120,281,600
  5. Step 5: Solve for x
    x = 241,120,281,600/330,600
  6. Step 6: Final answer
    x = 729,341.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.