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Finding the Third Proportional to 214,910 and 505,523

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Solution

The third proportional to 214,910 and 505,523 is: 1,189,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,910 : 505,523 = 505,523 : x
  2. Step 2: Convert to fraction form
    214,910/505,523 = 505,523/x
  3. Step 3: Cross multiply
    214,910x = 505,523 × 505,523
  4. Step 4: Simplify right side
    214,910x = 255,553,503,529
  5. Step 5: Solve for x
    x = 255,553,503,529/214,910
  6. Step 6: Final answer
    x = 1,189,118.72

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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.