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Finding the Third Proportional to 122,051 and 257,224

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Solution

The third proportional to 122,051 and 257,224 is: 542,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,051 : 257,224 = 257,224 : x
  2. Step 2: Convert to fraction form
    122,051/257,224 = 257,224/x
  3. Step 3: Cross multiply
    122,051x = 257,224 × 257,224
  4. Step 4: Simplify right side
    122,051x = 66,164,186,176
  5. Step 5: Solve for x
    x = 66,164,186,176/122,051
  6. Step 6: Final answer
    x = 542,102.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.