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Finding the Third Proportional to 100,074 and 218,615.50

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Solution

The third proportional to 100,074 and 218,615.50 is: 477,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,074 : 218,615.50 = 218,615.50 : x
  2. Step 2: Convert to fraction form
    100,074/218,615.50 = 218,615.50/x
  3. Step 3: Cross multiply
    100,074x = 218,615.50 × 218,615.50
  4. Step 4: Simplify right side
    100,074x = 47,792,736,840.25
  5. Step 5: Solve for x
    x = 47,792,736,840.25/100,074
  6. Step 6: Final answer
    x = 477,573.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.