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Finding the Third Proportional to 276,682 and 417,563

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Solution

The third proportional to 276,682 and 417,563 is: 630,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,682 : 417,563 = 417,563 : x
  2. Step 2: Convert to fraction form
    276,682/417,563 = 417,563/x
  3. Step 3: Cross multiply
    276,682x = 417,563 × 417,563
  4. Step 4: Simplify right side
    276,682x = 174,358,858,969
  5. Step 5: Solve for x
    x = 174,358,858,969/276,682
  6. Step 6: Final answer
    x = 630,177.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.