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Finding the Third Proportional to 135,106 and 197,447

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Solution

The third proportional to 135,106 and 197,447 is: 288,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,106 : 197,447 = 197,447 : x
  2. Step 2: Convert to fraction form
    135,106/197,447 = 197,447/x
  3. Step 3: Cross multiply
    135,106x = 197,447 × 197,447
  4. Step 4: Simplify right side
    135,106x = 38,985,317,809
  5. Step 5: Solve for x
    x = 38,985,317,809/135,106
  6. Step 6: Final answer
    x = 288,553.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.