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Finding the Third Proportional to 276,845 and 433,721

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Solution

The third proportional to 276,845 and 433,721 is: 679,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,845 : 433,721 = 433,721 : x
  2. Step 2: Convert to fraction form
    276,845/433,721 = 433,721/x
  3. Step 3: Cross multiply
    276,845x = 433,721 × 433,721
  4. Step 4: Simplify right side
    276,845x = 188,113,905,841
  5. Step 5: Solve for x
    x = 188,113,905,841/276,845
  6. Step 6: Final answer
    x = 679,491.79

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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.