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Finding the Third Proportional to 255,321 and 548,544

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Solution

The third proportional to 255,321 and 548,544 is: 1,178,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,321 : 548,544 = 548,544 : x
  2. Step 2: Convert to fraction form
    255,321/548,544 = 548,544/x
  3. Step 3: Cross multiply
    255,321x = 548,544 × 548,544
  4. Step 4: Simplify right side
    255,321x = 300,900,519,936
  5. Step 5: Solve for x
    x = 300,900,519,936/255,321
  6. Step 6: Final answer
    x = 1,178,518.49

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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.