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Finding the Third Proportional to 248,435 and 351,196

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Solution

The third proportional to 248,435 and 351,196 is: 496,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,435 : 351,196 = 351,196 : x
  2. Step 2: Convert to fraction form
    248,435/351,196 = 351,196/x
  3. Step 3: Cross multiply
    248,435x = 351,196 × 351,196
  4. Step 4: Simplify right side
    248,435x = 123,338,630,416
  5. Step 5: Solve for x
    x = 123,338,630,416/248,435
  6. Step 6: Final answer
    x = 496,462.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.