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Finding the Third Proportional to 158,890 and 222,684

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Solution

The third proportional to 158,890 and 222,684 is: 312,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,890 : 222,684 = 222,684 : x
  2. Step 2: Convert to fraction form
    158,890/222,684 = 222,684/x
  3. Step 3: Cross multiply
    158,890x = 222,684 × 222,684
  4. Step 4: Simplify right side
    158,890x = 49,588,163,856
  5. Step 5: Solve for x
    x = 49,588,163,856/158,890
  6. Step 6: Final answer
    x = 312,091.16

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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.