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Finding the Third Proportional to 150,178 and 209,958

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Solution

The third proportional to 150,178 and 209,958 is: 293,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,178 : 209,958 = 209,958 : x
  2. Step 2: Convert to fraction form
    150,178/209,958 = 209,958/x
  3. Step 3: Cross multiply
    150,178x = 209,958 × 209,958
  4. Step 4: Simplify right side
    150,178x = 44,082,361,764
  5. Step 5: Solve for x
    x = 44,082,361,764/150,178
  6. Step 6: Final answer
    x = 293,534.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.