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Finding the Third Proportional to 128,983 and 199,307

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Solution

The third proportional to 128,983 and 199,307 is: 307,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,983 : 199,307 = 199,307 : x
  2. Step 2: Convert to fraction form
    128,983/199,307 = 199,307/x
  3. Step 3: Cross multiply
    128,983x = 199,307 × 199,307
  4. Step 4: Simplify right side
    128,983x = 39,723,280,249
  5. Step 5: Solve for x
    x = 39,723,280,249/128,983
  6. Step 6: Final answer
    x = 307,972.99

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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.