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Finding the Third Proportional to 133,739.50 and 198,397.50

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Solution

The third proportional to 133,739.50 and 198,397.50 is: 294,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,739.50 : 198,397.50 = 198,397.50 : x
  2. Step 2: Convert to fraction form
    133,739.50/198,397.50 = 198,397.50/x
  3. Step 3: Cross multiply
    133,739.50x = 198,397.50 × 198,397.50
  4. Step 4: Simplify right side
    133,739.50x = 39,361,568,006.25
  5. Step 5: Solve for x
    x = 39,361,568,006.25/133,739.50
  6. Step 6: Final answer
    x = 294,315.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.