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Finding the Third Proportional to 128,411.25 and 197,628.75

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Solution

The third proportional to 128,411.25 and 197,628.75 is: 304,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,411.25 : 197,628.75 = 197,628.75 : x
  2. Step 2: Convert to fraction form
    128,411.25/197,628.75 = 197,628.75/x
  3. Step 3: Cross multiply
    128,411.25x = 197,628.75 × 197,628.75
  4. Step 4: Simplify right side
    128,411.25x = 39,057,122,826.56
  5. Step 5: Solve for x
    x = 39,057,122,826.56/128,411.25
  6. Step 6: Final answer
    x = 304,156.55

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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.