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Finding the Third Proportional to 283,644 and 419,859

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Solution

The third proportional to 283,644 and 419,859 is: 621,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,644 : 419,859 = 419,859 : x
  2. Step 2: Convert to fraction form
    283,644/419,859 = 419,859/x
  3. Step 3: Cross multiply
    283,644x = 419,859 × 419,859
  4. Step 4: Simplify right side
    283,644x = 176,281,579,881
  5. Step 5: Solve for x
    x = 176,281,579,881/283,644
  6. Step 6: Final answer
    x = 621,488.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.