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Finding the Third Proportional to 259,532 and 557,858

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Solution

The third proportional to 259,532 and 557,858 is: 1,199,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,532 : 557,858 = 557,858 : x
  2. Step 2: Convert to fraction form
    259,532/557,858 = 557,858/x
  3. Step 3: Cross multiply
    259,532x = 557,858 × 557,858
  4. Step 4: Simplify right side
    259,532x = 311,205,548,164
  5. Step 5: Solve for x
    x = 311,205,548,164/259,532
  6. Step 6: Final answer
    x = 1,199,102.80

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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.