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Finding the Third Proportional to 172,336 and 258,686

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Solution

The third proportional to 172,336 and 258,686 is: 388,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,336 : 258,686 = 258,686 : x
  2. Step 2: Convert to fraction form
    172,336/258,686 = 258,686/x
  3. Step 3: Cross multiply
    172,336x = 258,686 × 258,686
  4. Step 4: Simplify right side
    172,336x = 66,918,446,596
  5. Step 5: Solve for x
    x = 66,918,446,596/172,336
  6. Step 6: Final answer
    x = 388,302.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.