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Finding the Third Proportional to 270,280 and 380,181

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Solution

The third proportional to 270,280 and 380,181 is: 534,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,280 : 380,181 = 380,181 : x
  2. Step 2: Convert to fraction form
    270,280/380,181 = 380,181/x
  3. Step 3: Cross multiply
    270,280x = 380,181 × 380,181
  4. Step 4: Simplify right side
    270,280x = 144,537,592,761
  5. Step 5: Solve for x
    x = 144,537,592,761/270,280
  6. Step 6: Final answer
    x = 534,769.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.