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Finding the Third Proportional to 128,982 and 199,308

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Solution

The third proportional to 128,982 and 199,308 is: 307,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,982 : 199,308 = 199,308 : x
  2. Step 2: Convert to fraction form
    128,982/199,308 = 199,308/x
  3. Step 3: Cross multiply
    128,982x = 199,308 × 199,308
  4. Step 4: Simplify right side
    128,982x = 39,723,678,864
  5. Step 5: Solve for x
    x = 39,723,678,864/128,982
  6. Step 6: Final answer
    x = 307,978.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.