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Finding the Third Proportional to 156,036 and 336,984

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Solution

The third proportional to 156,036 and 336,984 is: 727,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,036 : 336,984 = 336,984 : x
  2. Step 2: Convert to fraction form
    156,036/336,984 = 336,984/x
  3. Step 3: Cross multiply
    156,036x = 336,984 × 336,984
  4. Step 4: Simplify right side
    156,036x = 113,558,216,256
  5. Step 5: Solve for x
    x = 113,558,216,256/156,036
  6. Step 6: Final answer
    x = 727,769.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.