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Finding the Third Proportional to 299,245.50 and 639,963

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Solution

The third proportional to 299,245.50 and 639,963 is: 1,368,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,245.50 : 639,963 = 639,963 : x
  2. Step 2: Convert to fraction form
    299,245.50/639,963 = 639,963/x
  3. Step 3: Cross multiply
    299,245.50x = 639,963 × 639,963
  4. Step 4: Simplify right side
    299,245.50x = 409,552,641,369
  5. Step 5: Solve for x
    x = 409,552,641,369/299,245.50
  6. Step 6: Final answer
    x = 1,368,617.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.