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Finding the Third Proportional to 165,318 and 337,641

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Solution

The third proportional to 165,318 and 337,641 is: 689,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,318 : 337,641 = 337,641 : x
  2. Step 2: Convert to fraction form
    165,318/337,641 = 337,641/x
  3. Step 3: Cross multiply
    165,318x = 337,641 × 337,641
  4. Step 4: Simplify right side
    165,318x = 114,001,444,881
  5. Step 5: Solve for x
    x = 114,001,444,881/165,318
  6. Step 6: Final answer
    x = 689,588.82

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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.