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Finding the Third Proportional to 281,115 and 605,214

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Solution

The third proportional to 281,115 and 605,214 is: 1,302,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,115 : 605,214 = 605,214 : x
  2. Step 2: Convert to fraction form
    281,115/605,214 = 605,214/x
  3. Step 3: Cross multiply
    281,115x = 605,214 × 605,214
  4. Step 4: Simplify right side
    281,115x = 366,283,985,796
  5. Step 5: Solve for x
    x = 366,283,985,796/281,115
  6. Step 6: Final answer
    x = 1,302,968.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.