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Finding the Third Proportional to 285,669 and 419,661

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Solution

The third proportional to 285,669 and 419,661 is: 616,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,669 : 419,661 = 419,661 : x
  2. Step 2: Convert to fraction form
    285,669/419,661 = 419,661/x
  3. Step 3: Cross multiply
    285,669x = 419,661 × 419,661
  4. Step 4: Simplify right side
    285,669x = 176,115,354,921
  5. Step 5: Solve for x
    x = 176,115,354,921/285,669
  6. Step 6: Final answer
    x = 616,501.46

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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.