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Finding the Third Proportional to 136,957.50 and 298,824.75

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Solution

The third proportional to 136,957.50 and 298,824.75 is: 651,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,957.50 : 298,824.75 = 298,824.75 : x
  2. Step 2: Convert to fraction form
    136,957.50/298,824.75 = 298,824.75/x
  3. Step 3: Cross multiply
    136,957.50x = 298,824.75 × 298,824.75
  4. Step 4: Simplify right side
    136,957.50x = 89,296,231,212.56
  5. Step 5: Solve for x
    x = 89,296,231,212.56/136,957.50
  6. Step 6: Final answer
    x = 651,999.57

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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.