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Finding the Third Proportional to 172,194 and 258,281

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Solution

The third proportional to 172,194 and 258,281 is: 387,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,194 : 258,281 = 258,281 : x
  2. Step 2: Convert to fraction form
    172,194/258,281 = 258,281/x
  3. Step 3: Cross multiply
    172,194x = 258,281 × 258,281
  4. Step 4: Simplify right side
    172,194x = 66,709,074,961
  5. Step 5: Solve for x
    x = 66,709,074,961/172,194
  6. Step 6: Final answer
    x = 387,406.50

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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.