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Finding the Third Proportional to 310,446 and 681,856

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Solution

The third proportional to 310,446 and 681,856 is: 1,497,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,446 : 681,856 = 681,856 : x
  2. Step 2: Convert to fraction form
    310,446/681,856 = 681,856/x
  3. Step 3: Cross multiply
    310,446x = 681,856 × 681,856
  4. Step 4: Simplify right side
    310,446x = 464,927,604,736
  5. Step 5: Solve for x
    x = 464,927,604,736/310,446
  6. Step 6: Final answer
    x = 1,497,611.84

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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.