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Finding the Third Proportional to 128,988 and 267,090

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Solution

The third proportional to 128,988 and 267,090 is: 553,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,988 : 267,090 = 267,090 : x
  2. Step 2: Convert to fraction form
    128,988/267,090 = 267,090/x
  3. Step 3: Cross multiply
    128,988x = 267,090 × 267,090
  4. Step 4: Simplify right side
    128,988x = 71,337,068,100
  5. Step 5: Solve for x
    x = 71,337,068,100/128,988
  6. Step 6: Final answer
    x = 553,051.97

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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.