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Finding the Third Proportional to 234,133 and 503,811

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Solution

The third proportional to 234,133 and 503,811 is: 1,084,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,133 : 503,811 = 503,811 : x
  2. Step 2: Convert to fraction form
    234,133/503,811 = 503,811/x
  3. Step 3: Cross multiply
    234,133x = 503,811 × 503,811
  4. Step 4: Simplify right side
    234,133x = 253,825,523,721
  5. Step 5: Solve for x
    x = 253,825,523,721/234,133
  6. Step 6: Final answer
    x = 1,084,108.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.