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Finding the Third Proportional to 221,768 and 475,288

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Solution

The third proportional to 221,768 and 475,288 is: 1,018,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,768 : 475,288 = 475,288 : x
  2. Step 2: Convert to fraction form
    221,768/475,288 = 475,288/x
  3. Step 3: Cross multiply
    221,768x = 475,288 × 475,288
  4. Step 4: Simplify right side
    221,768x = 225,898,682,944
  5. Step 5: Solve for x
    x = 225,898,682,944/221,768
  6. Step 6: Final answer
    x = 1,018,626.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.