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Finding the Third Proportional to 105,631.88 and 218,643.75

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Solution

The third proportional to 105,631.88 and 218,643.75 is: 452,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,631.88 : 218,643.75 = 218,643.75 : x
  2. Step 2: Convert to fraction form
    105,631.88/218,643.75 = 218,643.75/x
  3. Step 3: Cross multiply
    105,631.88x = 218,643.75 × 218,643.75
  4. Step 4: Simplify right side
    105,631.88x = 47,805,089,414.06
  5. Step 5: Solve for x
    x = 47,805,089,414.06/105,631.88
  6. Step 6: Final answer
    x = 452,563.11

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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.