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Finding the Third Proportional to 134,090 and 198,815

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Solution

The third proportional to 134,090 and 198,815 is: 294,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,090 : 198,815 = 198,815 : x
  2. Step 2: Convert to fraction form
    134,090/198,815 = 198,815/x
  3. Step 3: Cross multiply
    134,090x = 198,815 × 198,815
  4. Step 4: Simplify right side
    134,090x = 39,527,404,225
  5. Step 5: Solve for x
    x = 39,527,404,225/134,090
  6. Step 6: Final answer
    x = 294,782.64

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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.