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Finding the Third Proportional to 155,139 and 248,907

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Solution

The third proportional to 155,139 and 248,907 is: 399,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,139 : 248,907 = 248,907 : x
  2. Step 2: Convert to fraction form
    155,139/248,907 = 248,907/x
  3. Step 3: Cross multiply
    155,139x = 248,907 × 248,907
  4. Step 4: Simplify right side
    155,139x = 61,954,694,649
  5. Step 5: Solve for x
    x = 61,954,694,649/155,139
  6. Step 6: Final answer
    x = 399,349.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.