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Finding the Third Proportional to 136,021 and 191,205

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Solution

The third proportional to 136,021 and 191,205 is: 268,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,021 : 191,205 = 191,205 : x
  2. Step 2: Convert to fraction form
    136,021/191,205 = 191,205/x
  3. Step 3: Cross multiply
    136,021x = 191,205 × 191,205
  4. Step 4: Simplify right side
    136,021x = 36,559,352,025
  5. Step 5: Solve for x
    x = 36,559,352,025/136,021
  6. Step 6: Final answer
    x = 268,777.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.