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Finding the Third Proportional to 276,345 and 405,450

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Solution

The third proportional to 276,345 and 405,450 is: 594,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,345 : 405,450 = 405,450 : x
  2. Step 2: Convert to fraction form
    276,345/405,450 = 405,450/x
  3. Step 3: Cross multiply
    276,345x = 405,450 × 405,450
  4. Step 4: Simplify right side
    276,345x = 164,389,702,500
  5. Step 5: Solve for x
    x = 164,389,702,500/276,345
  6. Step 6: Final answer
    x = 594,871.28

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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.