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Finding the Third Proportional to 379,021 and 829,254

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Solution

The third proportional to 379,021 and 829,254 is: 1,814,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,021 : 829,254 = 829,254 : x
  2. Step 2: Convert to fraction form
    379,021/829,254 = 829,254/x
  3. Step 3: Cross multiply
    379,021x = 829,254 × 829,254
  4. Step 4: Simplify right side
    379,021x = 687,662,196,516
  5. Step 5: Solve for x
    x = 687,662,196,516/379,021
  6. Step 6: Final answer
    x = 1,814,311.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.