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Finding the Third Proportional to 221,106 and 519,762

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Solution

The third proportional to 221,106 and 519,762 is: 1,221,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,106 : 519,762 = 519,762 : x
  2. Step 2: Convert to fraction form
    221,106/519,762 = 519,762/x
  3. Step 3: Cross multiply
    221,106x = 519,762 × 519,762
  4. Step 4: Simplify right side
    221,106x = 270,152,536,644
  5. Step 5: Solve for x
    x = 270,152,536,644/221,106
  6. Step 6: Final answer
    x = 1,221,823.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.