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Finding the Third Proportional to 259,928 and 540,280

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Solution

The third proportional to 259,928 and 540,280 is: 1,123,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,928 : 540,280 = 540,280 : x
  2. Step 2: Convert to fraction form
    259,928/540,280 = 540,280/x
  3. Step 3: Cross multiply
    259,928x = 540,280 × 540,280
  4. Step 4: Simplify right side
    259,928x = 291,902,478,400
  5. Step 5: Solve for x
    x = 291,902,478,400/259,928
  6. Step 6: Final answer
    x = 1,123,012.83

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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.