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Finding the Third Proportional to 163,590 and 222,036

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Solution

The third proportional to 163,590 and 222,036 is: 301,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,590 : 222,036 = 222,036 : x
  2. Step 2: Convert to fraction form
    163,590/222,036 = 222,036/x
  3. Step 3: Cross multiply
    163,590x = 222,036 × 222,036
  4. Step 4: Simplify right side
    163,590x = 49,299,985,296
  5. Step 5: Solve for x
    x = 49,299,985,296/163,590
  6. Step 6: Final answer
    x = 301,363.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.