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Finding the Third Proportional to 163,656 and 222,154

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Solution

The third proportional to 163,656 and 222,154 is: 301,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,656 : 222,154 = 222,154 : x
  2. Step 2: Convert to fraction form
    163,656/222,154 = 222,154/x
  3. Step 3: Cross multiply
    163,656x = 222,154 × 222,154
  4. Step 4: Simplify right side
    163,656x = 49,352,399,716
  5. Step 5: Solve for x
    x = 49,352,399,716/163,656
  6. Step 6: Final answer
    x = 301,561.81

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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.