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Finding the Third Proportional to 203,687 and 299,293

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Solution

The third proportional to 203,687 and 299,293 is: 439,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,687 : 299,293 = 299,293 : x
  2. Step 2: Convert to fraction form
    203,687/299,293 = 299,293/x
  3. Step 3: Cross multiply
    203,687x = 299,293 × 299,293
  4. Step 4: Simplify right side
    203,687x = 89,576,299,849
  5. Step 5: Solve for x
    x = 89,576,299,849/203,687
  6. Step 6: Final answer
    x = 439,774.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.