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Finding the Third Proportional to 210,638 and 503,645

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Solution

The third proportional to 210,638 and 503,645 is: 1,204,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,638 : 503,645 = 503,645 : x
  2. Step 2: Convert to fraction form
    210,638/503,645 = 503,645/x
  3. Step 3: Cross multiply
    210,638x = 503,645 × 503,645
  4. Step 4: Simplify right side
    210,638x = 253,658,286,025
  5. Step 5: Solve for x
    x = 253,658,286,025/210,638
  6. Step 6: Final answer
    x = 1,204,238.01

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.