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Finding the Third Proportional to 299,204 and 645,064

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Solution

The third proportional to 299,204 and 645,064 is: 1,390,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,204 : 645,064 = 645,064 : x
  2. Step 2: Convert to fraction form
    299,204/645,064 = 645,064/x
  3. Step 3: Cross multiply
    299,204x = 645,064 × 645,064
  4. Step 4: Simplify right side
    299,204x = 416,107,564,096
  5. Step 5: Solve for x
    x = 416,107,564,096/299,204
  6. Step 6: Final answer
    x = 1,390,715.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.