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Finding the Third Proportional to 276,884 and 420,798

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Solution

The third proportional to 276,884 and 420,798 is: 639,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,884 : 420,798 = 420,798 : x
  2. Step 2: Convert to fraction form
    276,884/420,798 = 420,798/x
  3. Step 3: Cross multiply
    276,884x = 420,798 × 420,798
  4. Step 4: Simplify right side
    276,884x = 177,070,956,804
  5. Step 5: Solve for x
    x = 177,070,956,804/276,884
  6. Step 6: Final answer
    x = 639,513.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.