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Finding the Third Proportional to 155,114 and 248,867

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Solution

The third proportional to 155,114 and 248,867 is: 399,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,114 : 248,867 = 248,867 : x
  2. Step 2: Convert to fraction form
    155,114/248,867 = 248,867/x
  3. Step 3: Cross multiply
    155,114x = 248,867 × 248,867
  4. Step 4: Simplify right side
    155,114x = 61,934,783,689
  5. Step 5: Solve for x
    x = 61,934,783,689/155,114
  6. Step 6: Final answer
    x = 399,285.58

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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.