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Finding the Third Proportional to 410,298 and 853,212

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Solution

The third proportional to 410,298 and 853,212 is: 1,774,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,298 : 853,212 = 853,212 : x
  2. Step 2: Convert to fraction form
    410,298/853,212 = 853,212/x
  3. Step 3: Cross multiply
    410,298x = 853,212 × 853,212
  4. Step 4: Simplify right side
    410,298x = 727,970,716,944
  5. Step 5: Solve for x
    x = 727,970,716,944/410,298
  6. Step 6: Final answer
    x = 1,774,248.76

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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.