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Finding the Third Proportional to 155,728.13 and 222,690.94

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Solution

The third proportional to 155,728.13 and 222,690.94 is: 318,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,728.13 : 222,690.94 = 222,690.94 : x
  2. Step 2: Convert to fraction form
    155,728.13/222,690.94 = 222,690.94/x
  3. Step 3: Cross multiply
    155,728.13x = 222,690.94 × 222,690.94
  4. Step 4: Simplify right side
    155,728.13x = 49,591,253,644.63
  5. Step 5: Solve for x
    x = 49,591,253,644.63/155,728.13
  6. Step 6: Final answer
    x = 318,447.64

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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.