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Finding the Third Proportional to 276,334 and 426,707

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Solution

The third proportional to 276,334 and 426,707 is: 658,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,334 : 426,707 = 426,707 : x
  2. Step 2: Convert to fraction form
    276,334/426,707 = 426,707/x
  3. Step 3: Cross multiply
    276,334x = 426,707 × 426,707
  4. Step 4: Simplify right side
    276,334x = 182,078,863,849
  5. Step 5: Solve for x
    x = 182,078,863,849/276,334
  6. Step 6: Final answer
    x = 658,908.65

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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.