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Finding the Third Proportional to 165,638 and 258,297

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Solution

The third proportional to 165,638 and 258,297 is: 402,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,638 : 258,297 = 258,297 : x
  2. Step 2: Convert to fraction form
    165,638/258,297 = 258,297/x
  3. Step 3: Cross multiply
    165,638x = 258,297 × 258,297
  4. Step 4: Simplify right side
    165,638x = 66,717,340,209
  5. Step 5: Solve for x
    x = 66,717,340,209/165,638
  6. Step 6: Final answer
    x = 402,790.06

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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.