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Finding the Third Proportional to 128,647 and 197,963

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Solution

The third proportional to 128,647 and 197,963 is: 304,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,647 : 197,963 = 197,963 : x
  2. Step 2: Convert to fraction form
    128,647/197,963 = 197,963/x
  3. Step 3: Cross multiply
    128,647x = 197,963 × 197,963
  4. Step 4: Simplify right side
    128,647x = 39,189,349,369
  5. Step 5: Solve for x
    x = 39,189,349,369/128,647
  6. Step 6: Final answer
    x = 304,627.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.