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Finding the Third Proportional to 128,409.75 and 197,626.50

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Solution

The third proportional to 128,409.75 and 197,626.50 is: 304,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,409.75 : 197,626.50 = 197,626.50 : x
  2. Step 2: Convert to fraction form
    128,409.75/197,626.50 = 197,626.50/x
  3. Step 3: Cross multiply
    128,409.75x = 197,626.50 × 197,626.50
  4. Step 4: Simplify right side
    128,409.75x = 39,056,233,502.25
  5. Step 5: Solve for x
    x = 39,056,233,502.25/128,409.75
  6. Step 6: Final answer
    x = 304,153.18

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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.