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Finding the Third Proportional to 128,524 and 197,682

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Solution

The third proportional to 128,524 and 197,682 is: 304,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,524 : 197,682 = 197,682 : x
  2. Step 2: Convert to fraction form
    128,524/197,682 = 197,682/x
  3. Step 3: Cross multiply
    128,524x = 197,682 × 197,682
  4. Step 4: Simplify right side
    128,524x = 39,078,173,124
  5. Step 5: Solve for x
    x = 39,078,173,124/128,524
  6. Step 6: Final answer
    x = 304,053.51

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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.