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Finding the Third Proportional to 393,633 and 815,271

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Solution

The third proportional to 393,633 and 815,271 is: 1,688,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,633 : 815,271 = 815,271 : x
  2. Step 2: Convert to fraction form
    393,633/815,271 = 815,271/x
  3. Step 3: Cross multiply
    393,633x = 815,271 × 815,271
  4. Step 4: Simplify right side
    393,633x = 664,666,803,441
  5. Step 5: Solve for x
    x = 664,666,803,441/393,633
  6. Step 6: Final answer
    x = 1,688,544.41

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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.