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Finding the Third Proportional to 221,285 and 480,037

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Solution

The third proportional to 221,285 and 480,037 is: 1,041,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,285 : 480,037 = 480,037 : x
  2. Step 2: Convert to fraction form
    221,285/480,037 = 480,037/x
  3. Step 3: Cross multiply
    221,285x = 480,037 × 480,037
  4. Step 4: Simplify right side
    221,285x = 230,435,521,369
  5. Step 5: Solve for x
    x = 230,435,521,369/221,285
  6. Step 6: Final answer
    x = 1,041,351.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.