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Finding the Third Proportional to 208,446 and 439,858

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Solution

The third proportional to 208,446 and 439,858 is: 928,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,446 : 439,858 = 439,858 : x
  2. Step 2: Convert to fraction form
    208,446/439,858 = 439,858/x
  3. Step 3: Cross multiply
    208,446x = 439,858 × 439,858
  4. Step 4: Simplify right side
    208,446x = 193,475,060,164
  5. Step 5: Solve for x
    x = 193,475,060,164/208,446
  6. Step 6: Final answer
    x = 928,178.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.