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Finding the Third Proportional to 100,707.88 and 211,783.75

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Solution

The third proportional to 100,707.88 and 211,783.75 is: 445,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,707.88 : 211,783.75 = 211,783.75 : x
  2. Step 2: Convert to fraction form
    100,707.88/211,783.75 = 211,783.75/x
  3. Step 3: Cross multiply
    100,707.88x = 211,783.75 × 211,783.75
  4. Step 4: Simplify right side
    100,707.88x = 44,852,356,764.06
  5. Step 5: Solve for x
    x = 44,852,356,764.06/100,707.88
  6. Step 6: Final answer
    x = 445,370.90

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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.