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Finding the Third Proportional to 124,544 and 198,271

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Solution

The third proportional to 124,544 and 198,271 is: 315,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,544 : 198,271 = 198,271 : x
  2. Step 2: Convert to fraction form
    124,544/198,271 = 198,271/x
  3. Step 3: Cross multiply
    124,544x = 198,271 × 198,271
  4. Step 4: Simplify right side
    124,544x = 39,311,389,441
  5. Step 5: Solve for x
    x = 39,311,389,441/124,544
  6. Step 6: Final answer
    x = 315,642.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.