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Finding the Third Proportional to 197,701.50 and 306,383.63

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Solution

The third proportional to 197,701.50 and 306,383.63 is: 474,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,701.50 : 306,383.63 = 306,383.63 : x
  2. Step 2: Convert to fraction form
    197,701.50/306,383.63 = 306,383.63/x
  3. Step 3: Cross multiply
    197,701.50x = 306,383.63 × 306,383.63
  4. Step 4: Simplify right side
    197,701.50x = 93,870,925,668.14
  5. Step 5: Solve for x
    x = 93,870,925,668.14/197,701.50
  6. Step 6: Final answer
    x = 474,811.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.