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Finding the Third Proportional to 259,520.63 and 557,840.25

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Solution

The third proportional to 259,520.63 and 557,840.25 is: 1,199,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,520.63 : 557,840.25 = 557,840.25 : x
  2. Step 2: Convert to fraction form
    259,520.63/557,840.25 = 557,840.25/x
  3. Step 3: Cross multiply
    259,520.63x = 557,840.25 × 557,840.25
  4. Step 4: Simplify right side
    259,520.63x = 311,185,744,520.06
  5. Step 5: Solve for x
    x = 311,185,744,520.06/259,520.63
  6. Step 6: Final answer
    x = 1,199,079.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.