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Finding the Third Proportional to 72,575 and 109,956

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Solution

The third proportional to 72,575 and 109,956 is: 166,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,575 : 109,956 = 109,956 : x
  2. Step 2: Convert to fraction form
    72,575/109,956 = 109,956/x
  3. Step 3: Cross multiply
    72,575x = 109,956 × 109,956
  4. Step 4: Simplify right side
    72,575x = 12,090,321,936
  5. Step 5: Solve for x
    x = 12,090,321,936/72,575
  6. Step 6: Final answer
    x = 166,590.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.