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Finding the Third Proportional to 128,700 and 197,922

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Solution

The third proportional to 128,700 and 197,922 is: 304,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,700 : 197,922 = 197,922 : x
  2. Step 2: Convert to fraction form
    128,700/197,922 = 197,922/x
  3. Step 3: Cross multiply
    128,700x = 197,922 × 197,922
  4. Step 4: Simplify right side
    128,700x = 39,173,118,084
  5. Step 5: Solve for x
    x = 39,173,118,084/128,700
  6. Step 6: Final answer
    x = 304,375.43

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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.