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Finding the Third Proportional to 281,972 and 610,408

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Solution

The third proportional to 281,972 and 610,408 is: 1,321,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,972 : 610,408 = 610,408 : x
  2. Step 2: Convert to fraction form
    281,972/610,408 = 610,408/x
  3. Step 3: Cross multiply
    281,972x = 610,408 × 610,408
  4. Step 4: Simplify right side
    281,972x = 372,597,926,464
  5. Step 5: Solve for x
    x = 372,597,926,464/281,972
  6. Step 6: Final answer
    x = 1,321,400.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.