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Finding the Third Proportional to 259,277 and 388,920

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Solution

The third proportional to 259,277 and 388,920 is: 583,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,277 : 388,920 = 388,920 : x
  2. Step 2: Convert to fraction form
    259,277/388,920 = 388,920/x
  3. Step 3: Cross multiply
    259,277x = 388,920 × 388,920
  4. Step 4: Simplify right side
    259,277x = 151,258,766,400
  5. Step 5: Solve for x
    x = 151,258,766,400/259,277
  6. Step 6: Final answer
    x = 583,386.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.