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Finding the Third Proportional to 260,021 and 388,983.50

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Solution

The third proportional to 260,021 and 388,983.50 is: 581,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,021 : 388,983.50 = 388,983.50 : x
  2. Step 2: Convert to fraction form
    260,021/388,983.50 = 388,983.50/x
  3. Step 3: Cross multiply
    260,021x = 388,983.50 × 388,983.50
  4. Step 4: Simplify right side
    260,021x = 151,308,163,272.25
  5. Step 5: Solve for x
    x = 151,308,163,272.25/260,021
  6. Step 6: Final answer
    x = 581,907.47

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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.