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Finding the Third Proportional to 252,800 and 546,144

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Solution

The third proportional to 252,800 and 546,144 is: 1,179,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,800 : 546,144 = 546,144 : x
  2. Step 2: Convert to fraction form
    252,800/546,144 = 546,144/x
  3. Step 3: Cross multiply
    252,800x = 546,144 × 546,144
  4. Step 4: Simplify right side
    252,800x = 298,273,268,736
  5. Step 5: Solve for x
    x = 298,273,268,736/252,800
  6. Step 6: Final answer
    x = 1,179,878.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.