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Finding the Third Proportional to 128,616 and 267,088

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Solution

The third proportional to 128,616 and 267,088 is: 554,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,616 : 267,088 = 267,088 : x
  2. Step 2: Convert to fraction form
    128,616/267,088 = 267,088/x
  3. Step 3: Cross multiply
    128,616x = 267,088 × 267,088
  4. Step 4: Simplify right side
    128,616x = 71,335,999,744
  5. Step 5: Solve for x
    x = 71,335,999,744/128,616
  6. Step 6: Final answer
    x = 554,643.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.