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Finding the Third Proportional to 122,128 and 262,670

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Solution

The third proportional to 122,128 and 262,670 is: 564,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,128 : 262,670 = 262,670 : x
  2. Step 2: Convert to fraction form
    122,128/262,670 = 262,670/x
  3. Step 3: Cross multiply
    122,128x = 262,670 × 262,670
  4. Step 4: Simplify right side
    122,128x = 68,995,528,900
  5. Step 5: Solve for x
    x = 68,995,528,900/122,128
  6. Step 6: Final answer
    x = 564,944.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.