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Finding the Third Proportional to 120,048 and 257,886

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Solution

The third proportional to 120,048 and 257,886 is: 553,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,048 : 257,886 = 257,886 : x
  2. Step 2: Convert to fraction form
    120,048/257,886 = 257,886/x
  3. Step 3: Cross multiply
    120,048x = 257,886 × 257,886
  4. Step 4: Simplify right side
    120,048x = 66,505,188,996
  5. Step 5: Solve for x
    x = 66,505,188,996/120,048
  6. Step 6: Final answer
    x = 553,988.31

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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.