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Finding the Third Proportional to 283,842 and 425,805

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Solution

The third proportional to 283,842 and 425,805 is: 638,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,842 : 425,805 = 425,805 : x
  2. Step 2: Convert to fraction form
    283,842/425,805 = 425,805/x
  3. Step 3: Cross multiply
    283,842x = 425,805 × 425,805
  4. Step 4: Simplify right side
    283,842x = 181,309,898,025
  5. Step 5: Solve for x
    x = 181,309,898,025/283,842
  6. Step 6: Final answer
    x = 638,770.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.