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Finding the Third Proportional to 159,036 and 215,226

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Solution

The third proportional to 159,036 and 215,226 is: 291,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,036 : 215,226 = 215,226 : x
  2. Step 2: Convert to fraction form
    159,036/215,226 = 215,226/x
  3. Step 3: Cross multiply
    159,036x = 215,226 × 215,226
  4. Step 4: Simplify right side
    159,036x = 46,322,231,076
  5. Step 5: Solve for x
    x = 46,322,231,076/159,036
  6. Step 6: Final answer
    x = 291,268.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.