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Finding the Third Proportional to 260,708 and 389,898

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Solution

The third proportional to 260,708 and 389,898 is: 583,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,708 : 389,898 = 389,898 : x
  2. Step 2: Convert to fraction form
    260,708/389,898 = 389,898/x
  3. Step 3: Cross multiply
    260,708x = 389,898 × 389,898
  4. Step 4: Simplify right side
    260,708x = 152,020,450,404
  5. Step 5: Solve for x
    x = 152,020,450,404/260,708
  6. Step 6: Final answer
    x = 583,106.20

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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.