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Finding the Third Proportional to 133,833 and 197,052

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Solution

The third proportional to 133,833 and 197,052 is: 290,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,833 : 197,052 = 197,052 : x
  2. Step 2: Convert to fraction form
    133,833/197,052 = 197,052/x
  3. Step 3: Cross multiply
    133,833x = 197,052 × 197,052
  4. Step 4: Simplify right side
    133,833x = 38,829,490,704
  5. Step 5: Solve for x
    x = 38,829,490,704/133,833
  6. Step 6: Final answer
    x = 290,133.90

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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.