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Finding the Third Proportional to 204,152 and 290,344

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Solution

The third proportional to 204,152 and 290,344 is: 412,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,152 : 290,344 = 290,344 : x
  2. Step 2: Convert to fraction form
    204,152/290,344 = 290,344/x
  3. Step 3: Cross multiply
    204,152x = 290,344 × 290,344
  4. Step 4: Simplify right side
    204,152x = 84,299,638,336
  5. Step 5: Solve for x
    x = 84,299,638,336/204,152
  6. Step 6: Final answer
    x = 412,925.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.