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Finding the Third Proportional to 155,980.69 and 222,896.81

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Solution

The third proportional to 155,980.69 and 222,896.81 is: 318,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,980.69 : 222,896.81 = 222,896.81 : x
  2. Step 2: Convert to fraction form
    155,980.69/222,896.81 = 222,896.81/x
  3. Step 3: Cross multiply
    155,980.69x = 222,896.81 × 222,896.81
  4. Step 4: Simplify right side
    155,980.69x = 49,682,989,022.66
  5. Step 5: Solve for x
    x = 49,682,989,022.66/155,980.69
  6. Step 6: Final answer
    x = 318,520.13

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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.