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Finding the Third Proportional to 355,876 and 418,617

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Solution

The third proportional to 355,876 and 418,617 is: 492,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,876 : 418,617 = 418,617 : x
  2. Step 2: Convert to fraction form
    355,876/418,617 = 418,617/x
  3. Step 3: Cross multiply
    355,876x = 418,617 × 418,617
  4. Step 4: Simplify right side
    355,876x = 175,240,192,689
  5. Step 5: Solve for x
    x = 175,240,192,689/355,876
  6. Step 6: Final answer
    x = 492,419.25

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.