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Finding the Third Proportional to 538,230 and 731,285

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Solution

The third proportional to 538,230 and 731,285 is: 993,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,230 : 731,285 = 731,285 : x
  2. Step 2: Convert to fraction form
    538,230/731,285 = 731,285/x
  3. Step 3: Cross multiply
    538,230x = 731,285 × 731,285
  4. Step 4: Simplify right side
    538,230x = 534,777,751,225
  5. Step 5: Solve for x
    x = 534,777,751,225/538,230
  6. Step 6: Final answer
    x = 993,585.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.