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Finding the Third Proportional to 329,969 and 650,369

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Solution

The third proportional to 329,969 and 650,369 is: 1,281,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,969 : 650,369 = 650,369 : x
  2. Step 2: Convert to fraction form
    329,969/650,369 = 650,369/x
  3. Step 3: Cross multiply
    329,969x = 650,369 × 650,369
  4. Step 4: Simplify right side
    329,969x = 422,979,836,161
  5. Step 5: Solve for x
    x = 422,979,836,161/329,969
  6. Step 6: Final answer
    x = 1,281,877.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.