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Finding the Third Proportional to 149,220 and 210,940.50

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Solution

The third proportional to 149,220 and 210,940.50 is: 298,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,220 : 210,940.50 = 210,940.50 : x
  2. Step 2: Convert to fraction form
    149,220/210,940.50 = 210,940.50/x
  3. Step 3: Cross multiply
    149,220x = 210,940.50 × 210,940.50
  4. Step 4: Simplify right side
    149,220x = 44,495,894,540.25
  5. Step 5: Solve for x
    x = 44,495,894,540.25/149,220
  6. Step 6: Final answer
    x = 298,189.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.