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Finding the Third Proportional to 128,982 and 194,265

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Solution

The third proportional to 128,982 and 194,265 is: 292,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,982 : 194,265 = 194,265 : x
  2. Step 2: Convert to fraction form
    128,982/194,265 = 194,265/x
  3. Step 3: Cross multiply
    128,982x = 194,265 × 194,265
  4. Step 4: Simplify right side
    128,982x = 37,738,890,225
  5. Step 5: Solve for x
    x = 37,738,890,225/128,982
  6. Step 6: Final answer
    x = 292,590.36

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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.