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Finding the Third Proportional to 130,191 and 268,170

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Solution

The third proportional to 130,191 and 268,170 is: 552,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,191 : 268,170 = 268,170 : x
  2. Step 2: Convert to fraction form
    130,191/268,170 = 268,170/x
  3. Step 3: Cross multiply
    130,191x = 268,170 × 268,170
  4. Step 4: Simplify right side
    130,191x = 71,915,148,900
  5. Step 5: Solve for x
    x = 71,915,148,900/130,191
  6. Step 6: Final answer
    x = 552,381.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.