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Finding the Third Proportional to 71,599 and 109,284

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Solution

The third proportional to 71,599 and 109,284 is: 166,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,599 : 109,284 = 109,284 : x
  2. Step 2: Convert to fraction form
    71,599/109,284 = 109,284/x
  3. Step 3: Cross multiply
    71,599x = 109,284 × 109,284
  4. Step 4: Simplify right side
    71,599x = 11,942,992,656
  5. Step 5: Solve for x
    x = 11,942,992,656/71,599
  6. Step 6: Final answer
    x = 166,803.90

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