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Finding the Third Proportional to 255,377 and 554,980

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Solution

The third proportional to 255,377 and 554,980 is: 1,206,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,377 : 554,980 = 554,980 : x
  2. Step 2: Convert to fraction form
    255,377/554,980 = 554,980/x
  3. Step 3: Cross multiply
    255,377x = 554,980 × 554,980
  4. Step 4: Simplify right side
    255,377x = 308,002,800,400
  5. Step 5: Solve for x
    x = 308,002,800,400/255,377
  6. Step 6: Final answer
    x = 1,206,071.03

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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.