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Finding the Third Proportional to 128,550 and 276,831

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Solution

The third proportional to 128,550 and 276,831 is: 596,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,550 : 276,831 = 276,831 : x
  2. Step 2: Convert to fraction form
    128,550/276,831 = 276,831/x
  3. Step 3: Cross multiply
    128,550x = 276,831 × 276,831
  4. Step 4: Simplify right side
    128,550x = 76,635,402,561
  5. Step 5: Solve for x
    x = 76,635,402,561/128,550
  6. Step 6: Final answer
    x = 596,152.49

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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.