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Finding the Third Proportional to 162,186 and 258,269

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Solution

The third proportional to 162,186 and 258,269 is: 411,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,186 : 258,269 = 258,269 : x
  2. Step 2: Convert to fraction form
    162,186/258,269 = 258,269/x
  3. Step 3: Cross multiply
    162,186x = 258,269 × 258,269
  4. Step 4: Simplify right side
    162,186x = 66,702,876,361
  5. Step 5: Solve for x
    x = 66,702,876,361/162,186
  6. Step 6: Final answer
    x = 411,273.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.