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Finding the Third Proportional to 355,174 and 536,434

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Solution

The third proportional to 355,174 and 536,434 is: 810,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,174 : 536,434 = 536,434 : x
  2. Step 2: Convert to fraction form
    355,174/536,434 = 536,434/x
  3. Step 3: Cross multiply
    355,174x = 536,434 × 536,434
  4. Step 4: Simplify right side
    355,174x = 287,761,436,356
  5. Step 5: Solve for x
    x = 287,761,436,356/355,174
  6. Step 6: Final answer
    x = 810,198.48

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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.