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Finding the Third Proportional to 128,817 and 189,377

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Solution

The third proportional to 128,817 and 189,377 is: 278,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,817 : 189,377 = 189,377 : x
  2. Step 2: Convert to fraction form
    128,817/189,377 = 189,377/x
  3. Step 3: Cross multiply
    128,817x = 189,377 × 189,377
  4. Step 4: Simplify right side
    128,817x = 35,863,648,129
  5. Step 5: Solve for x
    x = 35,863,648,129/128,817
  6. Step 6: Final answer
    x = 278,407.73

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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.