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Finding the Third Proportional to 220,869 and 344,425.50

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Solution

The third proportional to 220,869 and 344,425.50 is: 537,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,869 : 344,425.50 = 344,425.50 : x
  2. Step 2: Convert to fraction form
    220,869/344,425.50 = 344,425.50/x
  3. Step 3: Cross multiply
    220,869x = 344,425.50 × 344,425.50
  4. Step 4: Simplify right side
    220,869x = 118,628,925,050.25
  5. Step 5: Solve for x
    x = 118,628,925,050.25/220,869
  6. Step 6: Final answer
    x = 537,100.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.