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Finding the Third Proportional to 135,178 and 197,631

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Solution

The third proportional to 135,178 and 197,631 is: 288,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,178 : 197,631 = 197,631 : x
  2. Step 2: Convert to fraction form
    135,178/197,631 = 197,631/x
  3. Step 3: Cross multiply
    135,178x = 197,631 × 197,631
  4. Step 4: Simplify right side
    135,178x = 39,058,012,161
  5. Step 5: Solve for x
    x = 39,058,012,161/135,178
  6. Step 6: Final answer
    x = 288,937.64

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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.