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Finding the Third Proportional to 122,080 and 257,284

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Solution

The third proportional to 122,080 and 257,284 is: 542,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,080 : 257,284 = 257,284 : x
  2. Step 2: Convert to fraction form
    122,080/257,284 = 257,284/x
  3. Step 3: Cross multiply
    122,080x = 257,284 × 257,284
  4. Step 4: Simplify right side
    122,080x = 66,195,056,656
  5. Step 5: Solve for x
    x = 66,195,056,656/122,080
  6. Step 6: Final answer
    x = 542,226.87

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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.