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Finding the Third Proportional to 159,090 and 222,993

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Solution

The third proportional to 159,090 and 222,993 is: 312,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,090 : 222,993 = 222,993 : x
  2. Step 2: Convert to fraction form
    159,090/222,993 = 222,993/x
  3. Step 3: Cross multiply
    159,090x = 222,993 × 222,993
  4. Step 4: Simplify right side
    159,090x = 49,725,878,049
  5. Step 5: Solve for x
    x = 49,725,878,049/159,090
  6. Step 6: Final answer
    x = 312,564.45

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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.