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Finding the Third Proportional to 285,444 and 427,356

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Solution

The third proportional to 285,444 and 427,356 is: 639,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,444 : 427,356 = 427,356 : x
  2. Step 2: Convert to fraction form
    285,444/427,356 = 427,356/x
  3. Step 3: Cross multiply
    285,444x = 427,356 × 427,356
  4. Step 4: Simplify right side
    285,444x = 182,633,150,736
  5. Step 5: Solve for x
    x = 182,633,150,736/285,444
  6. Step 6: Final answer
    x = 639,821.30

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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.