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Finding the Third Proportional to 128,876 and 189,074

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Solution

The third proportional to 128,876 and 189,074 is: 277,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,876 : 189,074 = 189,074 : x
  2. Step 2: Convert to fraction form
    128,876/189,074 = 189,074/x
  3. Step 3: Cross multiply
    128,876x = 189,074 × 189,074
  4. Step 4: Simplify right side
    128,876x = 35,748,977,476
  5. Step 5: Solve for x
    x = 35,748,977,476/128,876
  6. Step 6: Final answer
    x = 277,390.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.