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Finding the Third Proportional to 135,172 and 197,622

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Solution

The third proportional to 135,172 and 197,622 is: 288,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,172 : 197,622 = 197,622 : x
  2. Step 2: Convert to fraction form
    135,172/197,622 = 197,622/x
  3. Step 3: Cross multiply
    135,172x = 197,622 × 197,622
  4. Step 4: Simplify right side
    135,172x = 39,054,454,884
  5. Step 5: Solve for x
    x = 39,054,454,884/135,172
  6. Step 6: Final answer
    x = 288,924.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.