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Finding the Third Proportional to 221,913.84 and 485,345.25

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Solution

The third proportional to 221,913.84 and 485,345.25 is: 1,061,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,913.84 : 485,345.25 = 485,345.25 : x
  2. Step 2: Convert to fraction form
    221,913.84/485,345.25 = 485,345.25/x
  3. Step 3: Cross multiply
    221,913.84x = 485,345.25 × 485,345.25
  4. Step 4: Simplify right side
    221,913.84x = 235,560,011,697.56
  5. Step 5: Solve for x
    x = 235,560,011,697.56/221,913.84
  6. Step 6: Final answer
    x = 1,061,493.09

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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.