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Finding the Third Proportional to 155,960 and 222,276

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Solution

The third proportional to 155,960 and 222,276 is: 316,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,960 : 222,276 = 222,276 : x
  2. Step 2: Convert to fraction form
    155,960/222,276 = 222,276/x
  3. Step 3: Cross multiply
    155,960x = 222,276 × 222,276
  4. Step 4: Simplify right side
    155,960x = 49,406,620,176
  5. Step 5: Solve for x
    x = 49,406,620,176/155,960
  6. Step 6: Final answer
    x = 316,790.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.