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Finding the Third Proportional to 40,668 and 85,770

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Solution

The third proportional to 40,668 and 85,770 is: 180,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,668 : 85,770 = 85,770 : x
  2. Step 2: Convert to fraction form
    40,668/85,770 = 85,770/x
  3. Step 3: Cross multiply
    40,668x = 85,770 × 85,770
  4. Step 4: Simplify right side
    40,668x = 7,356,492,900
  5. Step 5: Solve for x
    x = 7,356,492,900/40,668
  6. Step 6: Final answer
    x = 180,891.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.