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Finding the Third Proportional to 74,378 and 163,519

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Solution

The third proportional to 74,378 and 163,519 is: 359,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,378 : 163,519 = 163,519 : x
  2. Step 2: Convert to fraction form
    74,378/163,519 = 163,519/x
  3. Step 3: Cross multiply
    74,378x = 163,519 × 163,519
  4. Step 4: Simplify right side
    74,378x = 26,738,463,361
  5. Step 5: Solve for x
    x = 26,738,463,361/74,378
  6. Step 6: Final answer
    x = 359,494.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.