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Finding the Third Proportional to 221,886 and 485,983.13

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Solution

The third proportional to 221,886 and 485,983.13 is: 1,064,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,886 : 485,983.13 = 485,983.13 : x
  2. Step 2: Convert to fraction form
    221,886/485,983.13 = 485,983.13/x
  3. Step 3: Cross multiply
    221,886x = 485,983.13 × 485,983.13
  4. Step 4: Simplify right side
    221,886x = 236,179,597,784.77
  5. Step 5: Solve for x
    x = 236,179,597,784.77/221,886
  6. Step 6: Final answer
    x = 1,064,418.66

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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.