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Finding the Third Proportional to 89,906 and 135,987

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Solution

The third proportional to 89,906 and 135,987 is: 205,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,906 : 135,987 = 135,987 : x
  2. Step 2: Convert to fraction form
    89,906/135,987 = 135,987/x
  3. Step 3: Cross multiply
    89,906x = 135,987 × 135,987
  4. Step 4: Simplify right side
    89,906x = 18,492,464,169
  5. Step 5: Solve for x
    x = 18,492,464,169/89,906
  6. Step 6: Final answer
    x = 205,686.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.