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Finding the Third Proportional to 66,888 and 89,214

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Solution

The third proportional to 66,888 and 89,214 is: 118,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,888 : 89,214 = 89,214 : x
  2. Step 2: Convert to fraction form
    66,888/89,214 = 89,214/x
  3. Step 3: Cross multiply
    66,888x = 89,214 × 89,214
  4. Step 4: Simplify right side
    66,888x = 7,959,137,796
  5. Step 5: Solve for x
    x = 7,959,137,796/66,888
  6. Step 6: Final answer
    x = 118,992.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.