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Finding the Third Proportional to 285,907 and 420,544

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Solution

The third proportional to 285,907 and 420,544 is: 618,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,907 : 420,544 = 420,544 : x
  2. Step 2: Convert to fraction form
    285,907/420,544 = 420,544/x
  3. Step 3: Cross multiply
    285,907x = 420,544 × 420,544
  4. Step 4: Simplify right side
    285,907x = 176,857,255,936
  5. Step 5: Solve for x
    x = 176,857,255,936/285,907
  6. Step 6: Final answer
    x = 618,583.16

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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.