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Finding the Third Proportional to 281,379 and 616,121.25

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Solution

The third proportional to 281,379 and 616,121.25 is: 1,349,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,379 : 616,121.25 = 616,121.25 : x
  2. Step 2: Convert to fraction form
    281,379/616,121.25 = 616,121.25/x
  3. Step 3: Cross multiply
    281,379x = 616,121.25 × 616,121.25
  4. Step 4: Simplify right side
    281,379x = 379,605,394,701.56
  5. Step 5: Solve for x
    x = 379,605,394,701.56/281,379
  6. Step 6: Final answer
    x = 1,349,089.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.