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Finding the Third Proportional to 221,485 and 485,872

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Solution

The third proportional to 221,485 and 485,872 is: 1,065,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,485 : 485,872 = 485,872 : x
  2. Step 2: Convert to fraction form
    221,485/485,872 = 485,872/x
  3. Step 3: Cross multiply
    221,485x = 485,872 × 485,872
  4. Step 4: Simplify right side
    221,485x = 236,071,600,384
  5. Step 5: Solve for x
    x = 236,071,600,384/221,485
  6. Step 6: Final answer
    x = 1,065,858.19

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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.