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Finding the Third Proportional to 128,650 and 197,965

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Solution

The third proportional to 128,650 and 197,965 is: 304,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,650 : 197,965 = 197,965 : x
  2. Step 2: Convert to fraction form
    128,650/197,965 = 197,965/x
  3. Step 3: Cross multiply
    128,650x = 197,965 × 197,965
  4. Step 4: Simplify right side
    128,650x = 39,190,141,225
  5. Step 5: Solve for x
    x = 39,190,141,225/128,650
  6. Step 6: Final answer
    x = 304,626.05

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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.