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Finding the Third Proportional to 66,891 and 89,220

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Solution

The third proportional to 66,891 and 89,220 is: 119,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,891 : 89,220 = 89,220 : x
  2. Step 2: Convert to fraction form
    66,891/89,220 = 89,220/x
  3. Step 3: Cross multiply
    66,891x = 89,220 × 89,220
  4. Step 4: Simplify right side
    66,891x = 7,960,208,400
  5. Step 5: Solve for x
    x = 7,960,208,400/66,891
  6. Step 6: Final answer
    x = 119,002.68

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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.