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Finding the Third Proportional to 145,412 and 218,847

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Solution

The third proportional to 145,412 and 218,847 is: 329,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,412 : 218,847 = 218,847 : x
  2. Step 2: Convert to fraction form
    145,412/218,847 = 218,847/x
  3. Step 3: Cross multiply
    145,412x = 218,847 × 218,847
  4. Step 4: Simplify right side
    145,412x = 47,894,009,409
  5. Step 5: Solve for x
    x = 47,894,009,409/145,412
  6. Step 6: Final answer
    x = 329,367.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.