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Finding the Third Proportional to 105,084 and 217,620

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Solution

The third proportional to 105,084 and 217,620 is: 450,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,084 : 217,620 = 217,620 : x
  2. Step 2: Convert to fraction form
    105,084/217,620 = 217,620/x
  3. Step 3: Cross multiply
    105,084x = 217,620 × 217,620
  4. Step 4: Simplify right side
    105,084x = 47,358,464,400
  5. Step 5: Solve for x
    x = 47,358,464,400/105,084
  6. Step 6: Final answer
    x = 450,672.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.