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Finding the Third Proportional to 255,620 and 555,400

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Solution

The third proportional to 255,620 and 555,400 is: 1,206,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,620 : 555,400 = 555,400 : x
  2. Step 2: Convert to fraction form
    255,620/555,400 = 555,400/x
  3. Step 3: Cross multiply
    255,620x = 555,400 × 555,400
  4. Step 4: Simplify right side
    255,620x = 308,469,160,000
  5. Step 5: Solve for x
    x = 308,469,160,000/255,620
  6. Step 6: Final answer
    x = 1,206,748.92

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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.