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Finding the Third Proportional to 276,360 and 405,468

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Solution

The third proportional to 276,360 and 405,468 is: 594,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,360 : 405,468 = 405,468 : x
  2. Step 2: Convert to fraction form
    276,360/405,468 = 405,468/x
  3. Step 3: Cross multiply
    276,360x = 405,468 × 405,468
  4. Step 4: Simplify right side
    276,360x = 164,404,299,024
  5. Step 5: Solve for x
    x = 164,404,299,024/276,360
  6. Step 6: Final answer
    x = 594,891.80

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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.