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Finding the Third Proportional to 259,750 and 388,580

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Solution

The third proportional to 259,750 and 388,580 is: 581,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,750 : 388,580 = 388,580 : x
  2. Step 2: Convert to fraction form
    259,750/388,580 = 388,580/x
  3. Step 3: Cross multiply
    259,750x = 388,580 × 388,580
  4. Step 4: Simplify right side
    259,750x = 150,994,416,400
  5. Step 5: Solve for x
    x = 150,994,416,400/259,750
  6. Step 6: Final answer
    x = 581,306.70

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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.