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Finding the Third Proportional to 133,808 and 197,015.75

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Solution

The third proportional to 133,808 and 197,015.75 is: 290,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,808 : 197,015.75 = 197,015.75 : x
  2. Step 2: Convert to fraction form
    133,808/197,015.75 = 197,015.75/x
  3. Step 3: Cross multiply
    133,808x = 197,015.75 × 197,015.75
  4. Step 4: Simplify right side
    133,808x = 38,815,205,748.06
  5. Step 5: Solve for x
    x = 38,815,205,748.06/133,808
  6. Step 6: Final answer
    x = 290,081.35

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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.