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Finding the Third Proportional to 255,425 and 555,063

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Solution

The third proportional to 255,425 and 555,063 is: 1,206,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,425 : 555,063 = 555,063 : x
  2. Step 2: Convert to fraction form
    255,425/555,063 = 555,063/x
  3. Step 3: Cross multiply
    255,425x = 555,063 × 555,063
  4. Step 4: Simplify right side
    255,425x = 308,094,933,969
  5. Step 5: Solve for x
    x = 308,094,933,969/255,425
  6. Step 6: Final answer
    x = 1,206,205.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.