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Finding the Third Proportional to 276,817 and 433,676

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Solution

The third proportional to 276,817 and 433,676 is: 679,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,817 : 433,676 = 433,676 : x
  2. Step 2: Convert to fraction form
    276,817/433,676 = 433,676/x
  3. Step 3: Cross multiply
    276,817x = 433,676 × 433,676
  4. Step 4: Simplify right side
    276,817x = 188,074,872,976
  5. Step 5: Solve for x
    x = 188,074,872,976/276,817
  6. Step 6: Final answer
    x = 679,419.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.