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Finding the Third Proportional to 100,977 and 218,668.50

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Solution

The third proportional to 100,977 and 218,668.50 is: 473,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,977 : 218,668.50 = 218,668.50 : x
  2. Step 2: Convert to fraction form
    100,977/218,668.50 = 218,668.50/x
  3. Step 3: Cross multiply
    100,977x = 218,668.50 × 218,668.50
  4. Step 4: Simplify right side
    100,977x = 47,815,912,892.25
  5. Step 5: Solve for x
    x = 47,815,912,892.25/100,977
  6. Step 6: Final answer
    x = 473,532.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.