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Finding the Third Proportional to 72,197 and 158,344

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Solution

The third proportional to 72,197 and 158,344 is: 347,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,197 : 158,344 = 158,344 : x
  2. Step 2: Convert to fraction form
    72,197/158,344 = 158,344/x
  3. Step 3: Cross multiply
    72,197x = 158,344 × 158,344
  4. Step 4: Simplify right side
    72,197x = 25,072,822,336
  5. Step 5: Solve for x
    x = 25,072,822,336/72,197
  6. Step 6: Final answer
    x = 347,283.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.