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Finding the Third Proportional to 222,388 and 326,160

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Solution

The third proportional to 222,388 and 326,160 is: 478,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,388 : 326,160 = 326,160 : x
  2. Step 2: Convert to fraction form
    222,388/326,160 = 326,160/x
  3. Step 3: Cross multiply
    222,388x = 326,160 × 326,160
  4. Step 4: Simplify right side
    222,388x = 106,380,345,600
  5. Step 5: Solve for x
    x = 106,380,345,600/222,388
  6. Step 6: Final answer
    x = 478,354.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.