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Finding the Third Proportional to 393,610 and 815,226

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Solution

The third proportional to 393,610 and 815,226 is: 1,688,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,610 : 815,226 = 815,226 : x
  2. Step 2: Convert to fraction form
    393,610/815,226 = 815,226/x
  3. Step 3: Cross multiply
    393,610x = 815,226 × 815,226
  4. Step 4: Simplify right side
    393,610x = 664,593,431,076
  5. Step 5: Solve for x
    x = 664,593,431,076/393,610
  6. Step 6: Final answer
    x = 1,688,456.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.