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Finding the Third Proportional to 393,112 and 817,322

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Solution

The third proportional to 393,112 and 817,322 is: 1,699,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,112 : 817,322 = 817,322 : x
  2. Step 2: Convert to fraction form
    393,112/817,322 = 817,322/x
  3. Step 3: Cross multiply
    393,112x = 817,322 × 817,322
  4. Step 4: Simplify right side
    393,112x = 668,015,251,684
  5. Step 5: Solve for x
    x = 668,015,251,684/393,112
  6. Step 6: Final answer
    x = 1,699,300.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.