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Finding the Third Proportional to 258,717 and 403,812

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Solution

The third proportional to 258,717 and 403,812 is: 630,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,717 : 403,812 = 403,812 : x
  2. Step 2: Convert to fraction form
    258,717/403,812 = 403,812/x
  3. Step 3: Cross multiply
    258,717x = 403,812 × 403,812
  4. Step 4: Simplify right side
    258,717x = 163,064,131,344
  5. Step 5: Solve for x
    x = 163,064,131,344/258,717
  6. Step 6: Final answer
    x = 630,279.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.