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Finding the Third Proportional to 100,738.69 and 211,820.06

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Solution

The third proportional to 100,738.69 and 211,820.06 is: 445,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,738.69 : 211,820.06 = 211,820.06 : x
  2. Step 2: Convert to fraction form
    100,738.69/211,820.06 = 211,820.06/x
  3. Step 3: Cross multiply
    100,738.69x = 211,820.06 × 211,820.06
  4. Step 4: Simplify right side
    100,738.69x = 44,867,738,877.50
  5. Step 5: Solve for x
    x = 44,867,738,877.50/100,738.69
  6. Step 6: Final answer
    x = 445,387.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.