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Finding the Third Proportional to 129,485 and 267,961

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Solution

The third proportional to 129,485 and 267,961 is: 554,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,485 : 267,961 = 267,961 : x
  2. Step 2: Convert to fraction form
    129,485/267,961 = 267,961/x
  3. Step 3: Cross multiply
    129,485x = 267,961 × 267,961
  4. Step 4: Simplify right side
    129,485x = 71,803,097,521
  5. Step 5: Solve for x
    x = 71,803,097,521/129,485
  6. Step 6: Final answer
    x = 554,528.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.