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Finding the Third Proportional to 259,692 and 388,506

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Solution

The third proportional to 259,692 and 388,506 is: 581,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,692 : 388,506 = 388,506 : x
  2. Step 2: Convert to fraction form
    259,692/388,506 = 388,506/x
  3. Step 3: Cross multiply
    259,692x = 388,506 × 388,506
  4. Step 4: Simplify right side
    259,692x = 150,936,912,036
  5. Step 5: Solve for x
    x = 150,936,912,036/259,692
  6. Step 6: Final answer
    x = 581,215.10

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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.