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Finding the Third Proportional to 276,837.75 and 431,649

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Solution

The third proportional to 276,837.75 and 431,649 is: 673,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,837.75 : 431,649 = 431,649 : x
  2. Step 2: Convert to fraction form
    276,837.75/431,649 = 431,649/x
  3. Step 3: Cross multiply
    276,837.75x = 431,649 × 431,649
  4. Step 4: Simplify right side
    276,837.75x = 186,320,859,201
  5. Step 5: Solve for x
    x = 186,320,859,201/276,837.75
  6. Step 6: Final answer
    x = 673,032.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.