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Finding the Third Proportional to 285,651 and 419,637

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Solution

The third proportional to 285,651 and 419,637 is: 616,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,651 : 419,637 = 419,637 : x
  2. Step 2: Convert to fraction form
    285,651/419,637 = 419,637/x
  3. Step 3: Cross multiply
    285,651x = 419,637 × 419,637
  4. Step 4: Simplify right side
    285,651x = 176,095,211,769
  5. Step 5: Solve for x
    x = 176,095,211,769/285,651
  6. Step 6: Final answer
    x = 616,469.79

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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.