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Finding the Third Proportional to 109,058 and 159,987

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Solution

The third proportional to 109,058 and 159,987 is: 234,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,058 : 159,987 = 159,987 : x
  2. Step 2: Convert to fraction form
    109,058/159,987 = 159,987/x
  3. Step 3: Cross multiply
    109,058x = 159,987 × 159,987
  4. Step 4: Simplify right side
    109,058x = 25,595,840,169
  5. Step 5: Solve for x
    x = 25,595,840,169/109,058
  6. Step 6: Final answer
    x = 234,699.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.