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Finding the Third Proportional to 299,326.50 and 640,161

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Solution

The third proportional to 299,326.50 and 640,161 is: 1,369,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,326.50 : 640,161 = 640,161 : x
  2. Step 2: Convert to fraction form
    299,326.50/640,161 = 640,161/x
  3. Step 3: Cross multiply
    299,326.50x = 640,161 × 640,161
  4. Step 4: Simplify right side
    299,326.50x = 409,806,105,921
  5. Step 5: Solve for x
    x = 409,806,105,921/299,326.50
  6. Step 6: Final answer
    x = 1,369,093.97

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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.