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Finding the Third Proportional to 276,348 and 426,740

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Solution

The third proportional to 276,348 and 426,740 is: 658,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,348 : 426,740 = 426,740 : x
  2. Step 2: Convert to fraction form
    276,348/426,740 = 426,740/x
  3. Step 3: Cross multiply
    276,348x = 426,740 × 426,740
  4. Step 4: Simplify right side
    276,348x = 182,107,027,600
  5. Step 5: Solve for x
    x = 182,107,027,600/276,348
  6. Step 6: Final answer
    x = 658,977.19

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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.