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Finding the Third Proportional to 256,801.64 and 557,736.26

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Solution

The third proportional to 256,801.64 and 557,736.26 is: 1,211,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,801.64 : 557,736.26 = 557,736.26 : x
  2. Step 2: Convert to fraction form
    256,801.64/557,736.26 = 557,736.26/x
  3. Step 3: Cross multiply
    256,801.64x = 557,736.26 × 557,736.26
  4. Step 4: Simplify right side
    256,801.64x = 311,069,733,278.69
  5. Step 5: Solve for x
    x = 311,069,733,278.69/256,801.64
  6. Step 6: Final answer
    x = 1,211,323.00

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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.