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Finding the Third Proportional to 122,177 and 257,476

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Solution

The third proportional to 122,177 and 257,476 is: 542,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,177 : 257,476 = 257,476 : x
  2. Step 2: Convert to fraction form
    122,177/257,476 = 257,476/x
  3. Step 3: Cross multiply
    122,177x = 257,476 × 257,476
  4. Step 4: Simplify right side
    122,177x = 66,293,890,576
  5. Step 5: Solve for x
    x = 66,293,890,576/122,177
  6. Step 6: Final answer
    x = 542,605.32

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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.