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Finding the Third Proportional to 355,878 and 418,619

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Solution

The third proportional to 355,878 and 418,619 is: 492,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,878 : 418,619 = 418,619 : x
  2. Step 2: Convert to fraction form
    355,878/418,619 = 418,619/x
  3. Step 3: Cross multiply
    355,878x = 418,619 × 418,619
  4. Step 4: Simplify right side
    355,878x = 175,241,867,161
  5. Step 5: Solve for x
    x = 175,241,867,161/355,878
  6. Step 6: Final answer
    x = 492,421.19

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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.