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Finding the Third Proportional to 159,004 and 215,177

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Solution

The third proportional to 159,004 and 215,177 is: 291,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,004 : 215,177 = 215,177 : x
  2. Step 2: Convert to fraction form
    159,004/215,177 = 215,177/x
  3. Step 3: Cross multiply
    159,004x = 215,177 × 215,177
  4. Step 4: Simplify right side
    159,004x = 46,301,141,329
  5. Step 5: Solve for x
    x = 46,301,141,329/159,004
  6. Step 6: Final answer
    x = 291,194.82

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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.