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Finding the Third Proportional to 118,568.81 and 256,977.56

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Solution

The third proportional to 118,568.81 and 256,977.56 is: 556,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,568.81 : 256,977.56 = 256,977.56 : x
  2. Step 2: Convert to fraction form
    118,568.81/256,977.56 = 256,977.56/x
  3. Step 3: Cross multiply
    118,568.81x = 256,977.56 × 256,977.56
  4. Step 4: Simplify right side
    118,568.81x = 66,037,467,628.44
  5. Step 5: Solve for x
    x = 66,037,467,628.44/118,568.81
  6. Step 6: Final answer
    x = 556,954.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.