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Finding the Third Proportional to 355,878 and 418,620

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Solution

The third proportional to 355,878 and 418,620 is: 492,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,878 : 418,620 = 418,620 : x
  2. Step 2: Convert to fraction form
    355,878/418,620 = 418,620/x
  3. Step 3: Cross multiply
    355,878x = 418,620 × 418,620
  4. Step 4: Simplify right side
    355,878x = 175,242,704,400
  5. Step 5: Solve for x
    x = 175,242,704,400/355,878
  6. Step 6: Final answer
    x = 492,423.54

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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.