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Finding the Third Proportional to 122,140 and 267,896

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Solution

The third proportional to 122,140 and 267,896 is: 587,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,140 : 267,896 = 267,896 : x
  2. Step 2: Convert to fraction form
    122,140/267,896 = 267,896/x
  3. Step 3: Cross multiply
    122,140x = 267,896 × 267,896
  4. Step 4: Simplify right side
    122,140x = 71,768,266,816
  5. Step 5: Solve for x
    x = 71,768,266,816/122,140
  6. Step 6: Final answer
    x = 587,590.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.