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Finding the Third Proportional to 283,786 and 423,218

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Solution

The third proportional to 283,786 and 423,218 is: 631,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,786 : 423,218 = 423,218 : x
  2. Step 2: Convert to fraction form
    283,786/423,218 = 423,218/x
  3. Step 3: Cross multiply
    283,786x = 423,218 × 423,218
  4. Step 4: Simplify right side
    283,786x = 179,113,475,524
  5. Step 5: Solve for x
    x = 179,113,475,524/283,786
  6. Step 6: Final answer
    x = 631,156.84

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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.