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Finding the Third Proportional to 165,672 and 258,336

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Solution

The third proportional to 165,672 and 258,336 is: 402,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672 : 258,336 = 258,336 : x
  2. Step 2: Convert to fraction form
    165,672/258,336 = 258,336/x
  3. Step 3: Cross multiply
    165,672x = 258,336 × 258,336
  4. Step 4: Simplify right side
    165,672x = 66,737,488,896
  5. Step 5: Solve for x
    x = 66,737,488,896/165,672
  6. Step 6: Final answer
    x = 402,829.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.