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Finding the Third Proportional to 308,167 and 640,525

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Solution

The third proportional to 308,167 and 640,525 is: 1,331,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,167 : 640,525 = 640,525 : x
  2. Step 2: Convert to fraction form
    308,167/640,525 = 640,525/x
  3. Step 3: Cross multiply
    308,167x = 640,525 × 640,525
  4. Step 4: Simplify right side
    308,167x = 410,272,275,625
  5. Step 5: Solve for x
    x = 410,272,275,625/308,167
  6. Step 6: Final answer
    x = 1,331,330.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.