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Finding the Third Proportional to 276,849 and 433,725.75

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Solution

The third proportional to 276,849 and 433,725.75 is: 679,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,849 : 433,725.75 = 433,725.75 : x
  2. Step 2: Convert to fraction form
    276,849/433,725.75 = 433,725.75/x
  3. Step 3: Cross multiply
    276,849x = 433,725.75 × 433,725.75
  4. Step 4: Simplify right side
    276,849x = 188,118,026,213.06
  5. Step 5: Solve for x
    x = 188,118,026,213.06/276,849
  6. Step 6: Final answer
    x = 679,496.86

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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.