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Finding the Third Proportional to 133,820.38 and 197,034

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Solution

The third proportional to 133,820.38 and 197,034 is: 290,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820.38 : 197,034 = 197,034 : x
  2. Step 2: Convert to fraction form
    133,820.38/197,034 = 197,034/x
  3. Step 3: Cross multiply
    133,820.38x = 197,034 × 197,034
  4. Step 4: Simplify right side
    133,820.38x = 38,822,397,156
  5. Step 5: Solve for x
    x = 38,822,397,156/133,820.38
  6. Step 6: Final answer
    x = 290,108.27

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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.