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Finding the Third Proportional to 283,770 and 423,192

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Solution

The third proportional to 283,770 and 423,192 is: 631,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,770 : 423,192 = 423,192 : x
  2. Step 2: Convert to fraction form
    283,770/423,192 = 423,192/x
  3. Step 3: Cross multiply
    283,770x = 423,192 × 423,192
  4. Step 4: Simplify right side
    283,770x = 179,091,468,864
  5. Step 5: Solve for x
    x = 179,091,468,864/283,770
  6. Step 6: Final answer
    x = 631,114.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.