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Finding the Third Proportional to 129,840 and 276,420

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Solution

The third proportional to 129,840 and 276,420 is: 588,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,840 : 276,420 = 276,420 : x
  2. Step 2: Convert to fraction form
    129,840/276,420 = 276,420/x
  3. Step 3: Cross multiply
    129,840x = 276,420 × 276,420
  4. Step 4: Simplify right side
    129,840x = 76,408,016,400
  5. Step 5: Solve for x
    x = 76,408,016,400/129,840
  6. Step 6: Final answer
    x = 588,478.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.