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Finding the Third Proportional to 159,026 and 215,207

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Solution

The third proportional to 159,026 and 215,207 is: 291,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,026 : 215,207 = 215,207 : x
  2. Step 2: Convert to fraction form
    159,026/215,207 = 215,207/x
  3. Step 3: Cross multiply
    159,026x = 215,207 × 215,207
  4. Step 4: Simplify right side
    159,026x = 46,314,052,849
  5. Step 5: Solve for x
    x = 46,314,052,849/159,026
  6. Step 6: Final answer
    x = 291,235.73

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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.