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Finding the Third Proportional to 127,142 and 276,420

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Solution

The third proportional to 127,142 and 276,420 is: 600,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,142 : 276,420 = 276,420 : x
  2. Step 2: Convert to fraction form
    127,142/276,420 = 276,420/x
  3. Step 3: Cross multiply
    127,142x = 276,420 × 276,420
  4. Step 4: Simplify right side
    127,142x = 76,408,016,400
  5. Step 5: Solve for x
    x = 76,408,016,400/127,142
  6. Step 6: Final answer
    x = 600,965.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.