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Finding the Third Proportional to 128,427 and 274,677

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Solution

The third proportional to 128,427 and 274,677 is: 587,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,427 : 274,677 = 274,677 : x
  2. Step 2: Convert to fraction form
    128,427/274,677 = 274,677/x
  3. Step 3: Cross multiply
    128,427x = 274,677 × 274,677
  4. Step 4: Simplify right side
    128,427x = 75,447,454,329
  5. Step 5: Solve for x
    x = 75,447,454,329/128,427
  6. Step 6: Final answer
    x = 587,473.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.