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Finding the Third Proportional to 127,213 and 276,538

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Solution

The third proportional to 127,213 and 276,538 is: 601,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,213 : 276,538 = 276,538 : x
  2. Step 2: Convert to fraction form
    127,213/276,538 = 276,538/x
  3. Step 3: Cross multiply
    127,213x = 276,538 × 276,538
  4. Step 4: Simplify right side
    127,213x = 76,473,265,444
  5. Step 5: Solve for x
    x = 76,473,265,444/127,213
  6. Step 6: Final answer
    x = 601,143.48

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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.