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Finding the Third Proportional to 260,040 and 388,352

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Solution

The third proportional to 260,040 and 388,352 is: 579,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,040 : 388,352 = 388,352 : x
  2. Step 2: Convert to fraction form
    260,040/388,352 = 388,352/x
  3. Step 3: Cross multiply
    260,040x = 388,352 × 388,352
  4. Step 4: Simplify right side
    260,040x = 150,817,275,904
  5. Step 5: Solve for x
    x = 150,817,275,904/260,040
  6. Step 6: Final answer
    x = 579,977.22

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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.