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Finding the Third Proportional to 128,877 and 194,733

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Solution

The third proportional to 128,877 and 194,733 is: 294,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,877 : 194,733 = 194,733 : x
  2. Step 2: Convert to fraction form
    128,877/194,733 = 194,733/x
  3. Step 3: Cross multiply
    128,877x = 194,733 × 194,733
  4. Step 4: Simplify right side
    128,877x = 37,920,941,289
  5. Step 5: Solve for x
    x = 37,920,941,289/128,877
  6. Step 6: Final answer
    x = 294,241.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.