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Finding the Third Proportional to 205,410 and 307,305

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Solution

The third proportional to 205,410 and 307,305 is: 459,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,410 : 307,305 = 307,305 : x
  2. Step 2: Convert to fraction form
    205,410/307,305 = 307,305/x
  3. Step 3: Cross multiply
    205,410x = 307,305 × 307,305
  4. Step 4: Simplify right side
    205,410x = 94,436,363,025
  5. Step 5: Solve for x
    x = 94,436,363,025/205,410
  6. Step 6: Final answer
    x = 459,745.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.