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Finding the Third Proportional to 248,435 and 351,196.50

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Solution

The third proportional to 248,435 and 351,196.50 is: 496,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,435 : 351,196.50 = 351,196.50 : x
  2. Step 2: Convert to fraction form
    248,435/351,196.50 = 351,196.50/x
  3. Step 3: Cross multiply
    248,435x = 351,196.50 × 351,196.50
  4. Step 4: Simplify right side
    248,435x = 123,338,981,612.25
  5. Step 5: Solve for x
    x = 123,338,981,612.25/248,435
  6. Step 6: Final answer
    x = 496,463.79

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