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Finding the Third Proportional to 191,967 and 412,912

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Solution

The third proportional to 191,967 and 412,912 is: 888,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,967 : 412,912 = 412,912 : x
  2. Step 2: Convert to fraction form
    191,967/412,912 = 412,912/x
  3. Step 3: Cross multiply
    191,967x = 412,912 × 412,912
  4. Step 4: Simplify right side
    191,967x = 170,496,319,744
  5. Step 5: Solve for x
    x = 170,496,319,744/191,967
  6. Step 6: Final answer
    x = 888,154.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.