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Finding the Third Proportional to 395,298 and 869,322

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Solution

The third proportional to 395,298 and 869,322 is: 1,911,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,298 : 869,322 = 869,322 : x
  2. Step 2: Convert to fraction form
    395,298/869,322 = 869,322/x
  3. Step 3: Cross multiply
    395,298x = 869,322 × 869,322
  4. Step 4: Simplify right side
    395,298x = 755,720,739,684
  5. Step 5: Solve for x
    x = 755,720,739,684/395,298
  6. Step 6: Final answer
    x = 1,911,774.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.