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Finding the Third Proportional to 158,121.75 and 205,197

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Solution

The third proportional to 158,121.75 and 205,197 is: 266,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,121.75 : 205,197 = 205,197 : x
  2. Step 2: Convert to fraction form
    158,121.75/205,197 = 205,197/x
  3. Step 3: Cross multiply
    158,121.75x = 205,197 × 205,197
  4. Step 4: Simplify right side
    158,121.75x = 42,105,808,809
  5. Step 5: Solve for x
    x = 42,105,808,809/158,121.75
  6. Step 6: Final answer
    x = 266,287.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.