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Finding the Third Proportional to 180,800 and 393,312

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Solution

The third proportional to 180,800 and 393,312 is: 855,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,800 : 393,312 = 393,312 : x
  2. Step 2: Convert to fraction form
    180,800/393,312 = 393,312/x
  3. Step 3: Cross multiply
    180,800x = 393,312 × 393,312
  4. Step 4: Simplify right side
    180,800x = 154,694,329,344
  5. Step 5: Solve for x
    x = 154,694,329,344/180,800
  6. Step 6: Final answer
    x = 855,610.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.