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Finding the Third Proportional to 149,967 and 326,178

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Solution

The third proportional to 149,967 and 326,178 is: 709,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,967 : 326,178 = 326,178 : x
  2. Step 2: Convert to fraction form
    149,967/326,178 = 326,178/x
  3. Step 3: Cross multiply
    149,967x = 326,178 × 326,178
  4. Step 4: Simplify right side
    149,967x = 106,392,087,684
  5. Step 5: Solve for x
    x = 106,392,087,684/149,967
  6. Step 6: Final answer
    x = 709,436.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.