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Finding the Third Proportional to 276,301 and 405,384

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Solution

The third proportional to 276,301 and 405,384 is: 594,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,301 : 405,384 = 405,384 : x
  2. Step 2: Convert to fraction form
    276,301/405,384 = 405,384/x
  3. Step 3: Cross multiply
    276,301x = 405,384 × 405,384
  4. Step 4: Simplify right side
    276,301x = 164,336,187,456
  5. Step 5: Solve for x
    x = 164,336,187,456/276,301
  6. Step 6: Final answer
    x = 594,772.32

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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.