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Finding the Third Proportional to 221,904 and 485,280

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Solution

The third proportional to 221,904 and 485,280 is: 1,061,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,904 : 485,280 = 485,280 : x
  2. Step 2: Convert to fraction form
    221,904/485,280 = 485,280/x
  3. Step 3: Cross multiply
    221,904x = 485,280 × 485,280
  4. Step 4: Simplify right side
    221,904x = 235,496,678,400
  5. Step 5: Solve for x
    x = 235,496,678,400/221,904
  6. Step 6: Final answer
    x = 1,061,254.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.