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Finding the Third Proportional to 72,821 and 109,900

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Solution

The third proportional to 72,821 and 109,900 is: 165,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,821 : 109,900 = 109,900 : x
  2. Step 2: Convert to fraction form
    72,821/109,900 = 109,900/x
  3. Step 3: Cross multiply
    72,821x = 109,900 × 109,900
  4. Step 4: Simplify right side
    72,821x = 12,078,010,000
  5. Step 5: Solve for x
    x = 12,078,010,000/72,821
  6. Step 6: Final answer
    x = 165,858.89

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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.