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Finding the Third Proportional to 276,210 and 405,567

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Solution

The third proportional to 276,210 and 405,567 is: 595,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,210 : 405,567 = 405,567 : x
  2. Step 2: Convert to fraction form
    276,210/405,567 = 405,567/x
  3. Step 3: Cross multiply
    276,210x = 405,567 × 405,567
  4. Step 4: Simplify right side
    276,210x = 164,484,591,489
  5. Step 5: Solve for x
    x = 164,484,591,489/276,210
  6. Step 6: Final answer
    x = 595,505.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.