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Finding the Third Proportional to 255,540 and 543,860

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Solution

The third proportional to 255,540 and 543,860 is: 1,157,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,540 : 543,860 = 543,860 : x
  2. Step 2: Convert to fraction form
    255,540/543,860 = 543,860/x
  3. Step 3: Cross multiply
    255,540x = 543,860 × 543,860
  4. Step 4: Simplify right side
    255,540x = 295,783,699,600
  5. Step 5: Solve for x
    x = 295,783,699,600/255,540
  6. Step 6: Final answer
    x = 1,157,484.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.