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Finding the Third Proportional to 159,656 and 221,986

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Solution

The third proportional to 159,656 and 221,986 is: 308,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,656 : 221,986 = 221,986 : x
  2. Step 2: Convert to fraction form
    159,656/221,986 = 221,986/x
  3. Step 3: Cross multiply
    159,656x = 221,986 × 221,986
  4. Step 4: Simplify right side
    159,656x = 49,277,784,196
  5. Step 5: Solve for x
    x = 49,277,784,196/159,656
  6. Step 6: Final answer
    x = 308,649.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.