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Finding the Third Proportional to 133,820.94 and 197,034.56

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Solution

The third proportional to 133,820.94 and 197,034.56 is: 290,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820.94 : 197,034.56 = 197,034.56 : x
  2. Step 2: Convert to fraction form
    133,820.94/197,034.56 = 197,034.56/x
  3. Step 3: Cross multiply
    133,820.94x = 197,034.56 × 197,034.56
  4. Step 4: Simplify right side
    133,820.94x = 38,822,618,819.57
  5. Step 5: Solve for x
    x = 38,822,618,819.57/133,820.94
  6. Step 6: Final answer
    x = 290,108.70

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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.