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Finding the Third Proportional to 390,652 and 836,600

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Solution

The third proportional to 390,652 and 836,600 is: 1,791,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,652 : 836,600 = 836,600 : x
  2. Step 2: Convert to fraction form
    390,652/836,600 = 836,600/x
  3. Step 3: Cross multiply
    390,652x = 836,600 × 836,600
  4. Step 4: Simplify right side
    390,652x = 699,899,560,000
  5. Step 5: Solve for x
    x = 699,899,560,000/390,652
  6. Step 6: Final answer
    x = 1,791,619.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.