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Finding the Third Proportional to 260,378 and 390,567

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Solution

The third proportional to 260,378 and 390,567 is: 585,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,378 : 390,567 = 390,567 : x
  2. Step 2: Convert to fraction form
    260,378/390,567 = 390,567/x
  3. Step 3: Cross multiply
    260,378x = 390,567 × 390,567
  4. Step 4: Simplify right side
    260,378x = 152,542,581,489
  5. Step 5: Solve for x
    x = 152,542,581,489/260,378
  6. Step 6: Final answer
    x = 585,850.50

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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.