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Finding the Third Proportional to 128,543 and 276,823

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Solution

The third proportional to 128,543 and 276,823 is: 596,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,543 : 276,823 = 276,823 : x
  2. Step 2: Convert to fraction form
    128,543/276,823 = 276,823/x
  3. Step 3: Cross multiply
    128,543x = 276,823 × 276,823
  4. Step 4: Simplify right side
    128,543x = 76,630,973,329
  5. Step 5: Solve for x
    x = 76,630,973,329/128,543
  6. Step 6: Final answer
    x = 596,150.50

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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.