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Finding the Third Proportional to 122,252 and 257,779

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Solution

The third proportional to 122,252 and 257,779 is: 543,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,252 : 257,779 = 257,779 : x
  2. Step 2: Convert to fraction form
    122,252/257,779 = 257,779/x
  3. Step 3: Cross multiply
    122,252x = 257,779 × 257,779
  4. Step 4: Simplify right side
    122,252x = 66,450,012,841
  5. Step 5: Solve for x
    x = 66,450,012,841/122,252
  6. Step 6: Final answer
    x = 543,549.49

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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.