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Finding the Third Proportional to 155,956 and 222,270

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Solution

The third proportional to 155,956 and 222,270 is: 316,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,956 : 222,270 = 222,270 : x
  2. Step 2: Convert to fraction form
    155,956/222,270 = 222,270/x
  3. Step 3: Cross multiply
    155,956x = 222,270 × 222,270
  4. Step 4: Simplify right side
    155,956x = 49,403,952,900
  5. Step 5: Solve for x
    x = 49,403,952,900/155,956
  6. Step 6: Final answer
    x = 316,781.35

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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.