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Finding the Third Proportional to 165,658 and 258,329

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Solution

The third proportional to 165,658 and 258,329 is: 402,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,658 : 258,329 = 258,329 : x
  2. Step 2: Convert to fraction form
    165,658/258,329 = 258,329/x
  3. Step 3: Cross multiply
    165,658x = 258,329 × 258,329
  4. Step 4: Simplify right side
    165,658x = 66,733,872,241
  5. Step 5: Solve for x
    x = 66,733,872,241/165,658
  6. Step 6: Final answer
    x = 402,841.23

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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.