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Finding the Third Proportional to 128,788 and 276,452

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Solution

The third proportional to 128,788 and 276,452 is: 593,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,788 : 276,452 = 276,452 : x
  2. Step 2: Convert to fraction form
    128,788/276,452 = 276,452/x
  3. Step 3: Cross multiply
    128,788x = 276,452 × 276,452
  4. Step 4: Simplify right side
    128,788x = 76,425,708,304
  5. Step 5: Solve for x
    x = 76,425,708,304/128,788
  6. Step 6: Final answer
    x = 593,422.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.