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Finding the Third Proportional to 278,143 and 598,201

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Solution

The third proportional to 278,143 and 598,201 is: 1,286,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,143 : 598,201 = 598,201 : x
  2. Step 2: Convert to fraction form
    278,143/598,201 = 598,201/x
  3. Step 3: Cross multiply
    278,143x = 598,201 × 598,201
  4. Step 4: Simplify right side
    278,143x = 357,844,436,401
  5. Step 5: Solve for x
    x = 357,844,436,401/278,143
  6. Step 6: Final answer
    x = 1,286,548.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.