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Finding the Third Proportional to 156,986 and 336,580

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Solution

The third proportional to 156,986 and 336,580 is: 721,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,986 : 336,580 = 336,580 : x
  2. Step 2: Convert to fraction form
    156,986/336,580 = 336,580/x
  3. Step 3: Cross multiply
    156,986x = 336,580 × 336,580
  4. Step 4: Simplify right side
    156,986x = 113,286,096,400
  5. Step 5: Solve for x
    x = 113,286,096,400/156,986
  6. Step 6: Final answer
    x = 721,631.84

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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.