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Finding the Third Proportional to 300,038 and 640,250

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Solution

The third proportional to 300,038 and 640,250 is: 1,366,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,038 : 640,250 = 640,250 : x
  2. Step 2: Convert to fraction form
    300,038/640,250 = 640,250/x
  3. Step 3: Cross multiply
    300,038x = 640,250 × 640,250
  4. Step 4: Simplify right side
    300,038x = 409,920,062,500
  5. Step 5: Solve for x
    x = 409,920,062,500/300,038
  6. Step 6: Final answer
    x = 1,366,227.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.