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Finding the Third Proportional to 156,530 and 338,584

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Solution

The third proportional to 156,530 and 338,584 is: 732,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,530 : 338,584 = 338,584 : x
  2. Step 2: Convert to fraction form
    156,530/338,584 = 338,584/x
  3. Step 3: Cross multiply
    156,530x = 338,584 × 338,584
  4. Step 4: Simplify right side
    156,530x = 114,639,125,056
  5. Step 5: Solve for x
    x = 114,639,125,056/156,530
  6. Step 6: Final answer
    x = 732,377.98

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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.