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Finding the Third Proportional to 122,120 and 257,360

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Solution

The third proportional to 122,120 and 257,360 is: 542,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,120 : 257,360 = 257,360 : x
  2. Step 2: Convert to fraction form
    122,120/257,360 = 257,360/x
  3. Step 3: Cross multiply
    122,120x = 257,360 × 257,360
  4. Step 4: Simplify right side
    122,120x = 66,234,169,600
  5. Step 5: Solve for x
    x = 66,234,169,600/122,120
  6. Step 6: Final answer
    x = 542,369.55

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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.