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Finding the Third Proportional to 134,288 and 197,720

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Solution

The third proportional to 134,288 and 197,720 is: 291,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,288 : 197,720 = 197,720 : x
  2. Step 2: Convert to fraction form
    134,288/197,720 = 197,720/x
  3. Step 3: Cross multiply
    134,288x = 197,720 × 197,720
  4. Step 4: Simplify right side
    134,288x = 39,093,198,400
  5. Step 5: Solve for x
    x = 39,093,198,400/134,288
  6. Step 6: Final answer
    x = 291,114.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.