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Finding the Third Proportional to 212,412 and 325,989

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Solution

The third proportional to 212,412 and 325,989 is: 500,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,412 : 325,989 = 325,989 : x
  2. Step 2: Convert to fraction form
    212,412/325,989 = 325,989/x
  3. Step 3: Cross multiply
    212,412x = 325,989 × 325,989
  4. Step 4: Simplify right side
    212,412x = 106,268,828,121
  5. Step 5: Solve for x
    x = 106,268,828,121/212,412
  6. Step 6: Final answer
    x = 500,295.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.