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Finding the Third Proportional to 122,895 and 258,156

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Solution

The third proportional to 122,895 and 258,156 is: 542,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,895 : 258,156 = 258,156 : x
  2. Step 2: Convert to fraction form
    122,895/258,156 = 258,156/x
  3. Step 3: Cross multiply
    122,895x = 258,156 × 258,156
  4. Step 4: Simplify right side
    122,895x = 66,644,520,336
  5. Step 5: Solve for x
    x = 66,644,520,336/122,895
  6. Step 6: Final answer
    x = 542,288.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.