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Finding the Third Proportional to 100,071.84 and 218,611.55

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Solution

The third proportional to 100,071.84 and 218,611.55 is: 477,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,071.84 : 218,611.55 = 218,611.55 : x
  2. Step 2: Convert to fraction form
    100,071.84/218,611.55 = 218,611.55/x
  3. Step 3: Cross multiply
    100,071.84x = 218,611.55 × 218,611.55
  4. Step 4: Simplify right side
    100,071.84x = 47,791,008,427.08
  5. Step 5: Solve for x
    x = 47,791,008,427.08/100,071.84
  6. Step 6: Final answer
    x = 477,566.98

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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.