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Finding the Third Proportional to 117,026 and 159,987

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Solution

The third proportional to 117,026 and 159,987 is: 218,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,026 : 159,987 = 159,987 : x
  2. Step 2: Convert to fraction form
    117,026/159,987 = 159,987/x
  3. Step 3: Cross multiply
    117,026x = 159,987 × 159,987
  4. Step 4: Simplify right side
    117,026x = 25,595,840,169
  5. Step 5: Solve for x
    x = 25,595,840,169/117,026
  6. Step 6: Final answer
    x = 218,719.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.