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Finding the Third Proportional to 281,912 and 614,719

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Solution

The third proportional to 281,912 and 614,719 is: 1,340,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,912 : 614,719 = 614,719 : x
  2. Step 2: Convert to fraction form
    281,912/614,719 = 614,719/x
  3. Step 3: Cross multiply
    281,912x = 614,719 × 614,719
  4. Step 4: Simplify right side
    281,912x = 377,879,448,961
  5. Step 5: Solve for x
    x = 377,879,448,961/281,912
  6. Step 6: Final answer
    x = 1,340,416.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.