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Finding the Third Proportional to 255,410 and 404,227

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Solution

The third proportional to 255,410 and 404,227 is: 639,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,410 : 404,227 = 404,227 : x
  2. Step 2: Convert to fraction form
    255,410/404,227 = 404,227/x
  3. Step 3: Cross multiply
    255,410x = 404,227 × 404,227
  4. Step 4: Simplify right side
    255,410x = 163,399,467,529
  5. Step 5: Solve for x
    x = 163,399,467,529/255,410
  6. Step 6: Final answer
    x = 639,753.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.