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Finding the Third Proportional to 163,410 and 222,778.50

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Solution

The third proportional to 163,410 and 222,778.50 is: 303,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,410 : 222,778.50 = 222,778.50 : x
  2. Step 2: Convert to fraction form
    163,410/222,778.50 = 222,778.50/x
  3. Step 3: Cross multiply
    163,410x = 222,778.50 × 222,778.50
  4. Step 4: Simplify right side
    163,410x = 49,630,260,062.25
  5. Step 5: Solve for x
    x = 49,630,260,062.25/163,410
  6. Step 6: Final answer
    x = 303,716.17

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