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Finding the Third Proportional to 66,890 and 89,217

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Solution

The third proportional to 66,890 and 89,217 is: 118,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,890 : 89,217 = 89,217 : x
  2. Step 2: Convert to fraction form
    66,890/89,217 = 89,217/x
  3. Step 3: Cross multiply
    66,890x = 89,217 × 89,217
  4. Step 4: Simplify right side
    66,890x = 7,959,673,089
  5. Step 5: Solve for x
    x = 7,959,673,089/66,890
  6. Step 6: Final answer
    x = 118,996.46

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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.