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Finding the Third Proportional to 193,020 and 278,456

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Solution

The third proportional to 193,020 and 278,456 is: 401,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,020 : 278,456 = 278,456 : x
  2. Step 2: Convert to fraction form
    193,020/278,456 = 278,456/x
  3. Step 3: Cross multiply
    193,020x = 278,456 × 278,456
  4. Step 4: Simplify right side
    193,020x = 77,537,743,936
  5. Step 5: Solve for x
    x = 77,537,743,936/193,020
  6. Step 6: Final answer
    x = 401,708.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.