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Finding the Third Proportional to 260,068 and 389,048

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Solution

The third proportional to 260,068 and 389,048 is: 581,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,068 : 389,048 = 389,048 : x
  2. Step 2: Convert to fraction form
    260,068/389,048 = 389,048/x
  3. Step 3: Cross multiply
    260,068x = 389,048 × 389,048
  4. Step 4: Simplify right side
    260,068x = 151,358,346,304
  5. Step 5: Solve for x
    x = 151,358,346,304/260,068
  6. Step 6: Final answer
    x = 581,995.27

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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.