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Finding the Third Proportional to 165,317 and 337,639

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Solution

The third proportional to 165,317 and 337,639 is: 689,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,317 : 337,639 = 337,639 : x
  2. Step 2: Convert to fraction form
    165,317/337,639 = 337,639/x
  3. Step 3: Cross multiply
    165,317x = 337,639 × 337,639
  4. Step 4: Simplify right side
    165,317x = 114,000,094,321
  5. Step 5: Solve for x
    x = 114,000,094,321/165,317
  6. Step 6: Final answer
    x = 689,584.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.