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Finding the Third Proportional to 285,559 and 428,393

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Solution

The third proportional to 285,559 and 428,393 is: 642,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,559 : 428,393 = 428,393 : x
  2. Step 2: Convert to fraction form
    285,559/428,393 = 428,393/x
  3. Step 3: Cross multiply
    285,559x = 428,393 × 428,393
  4. Step 4: Simplify right side
    285,559x = 183,520,562,449
  5. Step 5: Solve for x
    x = 183,520,562,449/285,559
  6. Step 6: Final answer
    x = 642,671.26

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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.