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Finding the Third Proportional to 285,655 and 419,644

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Solution

The third proportional to 285,655 and 419,644 is: 616,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,655 : 419,644 = 419,644 : x
  2. Step 2: Convert to fraction form
    285,655/419,644 = 419,644/x
  3. Step 3: Cross multiply
    285,655x = 419,644 × 419,644
  4. Step 4: Simplify right side
    285,655x = 176,101,086,736
  5. Step 5: Solve for x
    x = 176,101,086,736/285,655
  6. Step 6: Final answer
    x = 616,481.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.