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Finding the Third Proportional to 330,595 and 491,029

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Solution

The third proportional to 330,595 and 491,029 is: 729,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,595 : 491,029 = 491,029 : x
  2. Step 2: Convert to fraction form
    330,595/491,029 = 491,029/x
  3. Step 3: Cross multiply
    330,595x = 491,029 × 491,029
  4. Step 4: Simplify right side
    330,595x = 241,109,478,841
  5. Step 5: Solve for x
    x = 241,109,478,841/330,595
  6. Step 6: Final answer
    x = 729,319.80

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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.