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Finding the Third Proportional to 393,634 and 815,276

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Solution

The third proportional to 393,634 and 815,276 is: 1,688,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,634 : 815,276 = 815,276 : x
  2. Step 2: Convert to fraction form
    393,634/815,276 = 815,276/x
  3. Step 3: Cross multiply
    393,634x = 815,276 × 815,276
  4. Step 4: Simplify right side
    393,634x = 664,674,956,176
  5. Step 5: Solve for x
    x = 664,674,956,176/393,634
  6. Step 6: Final answer
    x = 1,688,560.84

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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.