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Finding the Third Proportional to 276,388 and 599,431

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Solution

The third proportional to 276,388 and 599,431 is: 1,300,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,388 : 599,431 = 599,431 : x
  2. Step 2: Convert to fraction form
    276,388/599,431 = 599,431/x
  3. Step 3: Cross multiply
    276,388x = 599,431 × 599,431
  4. Step 4: Simplify right side
    276,388x = 359,317,523,761
  5. Step 5: Solve for x
    x = 359,317,523,761/276,388
  6. Step 6: Final answer
    x = 1,300,047.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.