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Finding the Third Proportional to 355,542 and 725,388

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Solution

The third proportional to 355,542 and 725,388 is: 1,479,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,542 : 725,388 = 725,388 : x
  2. Step 2: Convert to fraction form
    355,542/725,388 = 725,388/x
  3. Step 3: Cross multiply
    355,542x = 725,388 × 725,388
  4. Step 4: Simplify right side
    355,542x = 526,187,750,544
  5. Step 5: Solve for x
    x = 526,187,750,544/355,542
  6. Step 6: Final answer
    x = 1,479,959.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.