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Finding the Third Proportional to 122,967 and 290,164

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Solution

The third proportional to 122,967 and 290,164 is: 684,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,967 : 290,164 = 290,164 : x
  2. Step 2: Convert to fraction form
    122,967/290,164 = 290,164/x
  3. Step 3: Cross multiply
    122,967x = 290,164 × 290,164
  4. Step 4: Simplify right side
    122,967x = 84,195,146,896
  5. Step 5: Solve for x
    x = 84,195,146,896/122,967
  6. Step 6: Final answer
    x = 684,697.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.