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Finding the Third Proportional to 216,619 and 475,087

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Solution

The third proportional to 216,619 and 475,087 is: 1,041,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,619 : 475,087 = 475,087 : x
  2. Step 2: Convert to fraction form
    216,619/475,087 = 475,087/x
  3. Step 3: Cross multiply
    216,619x = 475,087 × 475,087
  4. Step 4: Simplify right side
    216,619x = 225,707,657,569
  5. Step 5: Solve for x
    x = 225,707,657,569/216,619
  6. Step 6: Final answer
    x = 1,041,956.88

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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.