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Finding the Third Proportional to 248,220 and 393,228

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Solution

The third proportional to 248,220 and 393,228 is: 622,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,220 : 393,228 = 393,228 : x
  2. Step 2: Convert to fraction form
    248,220/393,228 = 393,228/x
  3. Step 3: Cross multiply
    248,220x = 393,228 × 393,228
  4. Step 4: Simplify right side
    248,220x = 154,628,259,984
  5. Step 5: Solve for x
    x = 154,628,259,984/248,220
  6. Step 6: Final answer
    x = 622,948.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.