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Finding the Third Proportional to 516,396 and 782,322

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Solution

The third proportional to 516,396 and 782,322 is: 1,185,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,396 : 782,322 = 782,322 : x
  2. Step 2: Convert to fraction form
    516,396/782,322 = 782,322/x
  3. Step 3: Cross multiply
    516,396x = 782,322 × 782,322
  4. Step 4: Simplify right side
    516,396x = 612,027,711,684
  5. Step 5: Solve for x
    x = 612,027,711,684/516,396
  6. Step 6: Final answer
    x = 1,185,190.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.