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Finding the Third Proportional to 355,170 and 536,427

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Solution

The third proportional to 355,170 and 536,427 is: 810,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,170 : 536,427 = 536,427 : x
  2. Step 2: Convert to fraction form
    355,170/536,427 = 536,427/x
  3. Step 3: Cross multiply
    355,170x = 536,427 × 536,427
  4. Step 4: Simplify right side
    355,170x = 287,753,926,329
  5. Step 5: Solve for x
    x = 287,753,926,329/355,170
  6. Step 6: Final answer
    x = 810,186.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.