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Finding the Third Proportional to 117,408 and 261,000

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Solution

The third proportional to 117,408 and 261,000 is: 580,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,408 : 261,000 = 261,000 : x
  2. Step 2: Convert to fraction form
    117,408/261,000 = 261,000/x
  3. Step 3: Cross multiply
    117,408x = 261,000 × 261,000
  4. Step 4: Simplify right side
    117,408x = 68,121,000,000
  5. Step 5: Solve for x
    x = 68,121,000,000/117,408
  6. Step 6: Final answer
    x = 580,207.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.