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Finding the Third Proportional to 393,604 and 815,216

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Solution

The third proportional to 393,604 and 815,216 is: 1,688,440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,604 : 815,216 = 815,216 : x
  2. Step 2: Convert to fraction form
    393,604/815,216 = 815,216/x
  3. Step 3: Cross multiply
    393,604x = 815,216 × 815,216
  4. Step 4: Simplify right side
    393,604x = 664,577,126,656
  5. Step 5: Solve for x
    x = 664,577,126,656/393,604
  6. Step 6: Final answer
    x = 1,688,440.99

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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.