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Finding the Third Proportional to 84,460 and 181,880

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Solution

The third proportional to 84,460 and 181,880 is: 391,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,460 : 181,880 = 181,880 : x
  2. Step 2: Convert to fraction form
    84,460/181,880 = 181,880/x
  3. Step 3: Cross multiply
    84,460x = 181,880 × 181,880
  4. Step 4: Simplify right side
    84,460x = 33,080,334,400
  5. Step 5: Solve for x
    x = 33,080,334,400/84,460
  6. Step 6: Final answer
    x = 391,668.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.