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Finding the Third Proportional to 122,136 and 267,888

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Solution

The third proportional to 122,136 and 267,888 is: 587,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,136 : 267,888 = 267,888 : x
  2. Step 2: Convert to fraction form
    122,136/267,888 = 267,888/x
  3. Step 3: Cross multiply
    122,136x = 267,888 × 267,888
  4. Step 4: Simplify right side
    122,136x = 71,763,980,544
  5. Step 5: Solve for x
    x = 71,763,980,544/122,136
  6. Step 6: Final answer
    x = 587,574.35

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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.