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Finding the Third Proportional to 285,907 and 621,614

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Solution

The third proportional to 285,907 and 621,614 is: 1,351,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,907 : 621,614 = 621,614 : x
  2. Step 2: Convert to fraction form
    285,907/621,614 = 621,614/x
  3. Step 3: Cross multiply
    285,907x = 621,614 × 621,614
  4. Step 4: Simplify right side
    285,907x = 386,403,964,996
  5. Step 5: Solve for x
    x = 386,403,964,996/285,907
  6. Step 6: Final answer
    x = 1,351,502.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.