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Finding the Third Proportional to 255,530 and 555,804

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Solution

The third proportional to 255,530 and 555,804 is: 1,208,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,530 : 555,804 = 555,804 : x
  2. Step 2: Convert to fraction form
    255,530/555,804 = 555,804/x
  3. Step 3: Cross multiply
    255,530x = 555,804 × 555,804
  4. Step 4: Simplify right side
    255,530x = 308,918,086,416
  5. Step 5: Solve for x
    x = 308,918,086,416/255,530
  6. Step 6: Final answer
    x = 1,208,930.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.