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Finding the Third Proportional to 330,599 and 491,037

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Solution

The third proportional to 330,599 and 491,037 is: 729,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,599 : 491,037 = 491,037 : x
  2. Step 2: Convert to fraction form
    330,599/491,037 = 491,037/x
  3. Step 3: Cross multiply
    330,599x = 491,037 × 491,037
  4. Step 4: Simplify right side
    330,599x = 241,117,335,369
  5. Step 5: Solve for x
    x = 241,117,335,369/330,599
  6. Step 6: Final answer
    x = 729,334.74

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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.