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Finding the Third Proportional to 260,040 and 388,344

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Solution

The third proportional to 260,040 and 388,344 is: 579,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,040 : 388,344 = 388,344 : x
  2. Step 2: Convert to fraction form
    260,040/388,344 = 388,344/x
  3. Step 3: Cross multiply
    260,040x = 388,344 × 388,344
  4. Step 4: Simplify right side
    260,040x = 150,811,062,336
  5. Step 5: Solve for x
    x = 150,811,062,336/260,040
  6. Step 6: Final answer
    x = 579,953.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.