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Finding the Third Proportional to 276,222 and 426,543

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Solution

The third proportional to 276,222 and 426,543 is: 658,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,222 : 426,543 = 426,543 : x
  2. Step 2: Convert to fraction form
    276,222/426,543 = 426,543/x
  3. Step 3: Cross multiply
    276,222x = 426,543 × 426,543
  4. Step 4: Simplify right side
    276,222x = 181,938,930,849
  5. Step 5: Solve for x
    x = 181,938,930,849/276,222
  6. Step 6: Final answer
    x = 658,669.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.