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Finding the Third Proportional to 276,853.50 and 424,419.75

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Solution

The third proportional to 276,853.50 and 424,419.75 is: 650,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,853.50 : 424,419.75 = 424,419.75 : x
  2. Step 2: Convert to fraction form
    276,853.50/424,419.75 = 424,419.75/x
  3. Step 3: Cross multiply
    276,853.50x = 424,419.75 × 424,419.75
  4. Step 4: Simplify right side
    276,853.50x = 180,132,124,190.06
  5. Step 5: Solve for x
    x = 180,132,124,190.06/276,853.50
  6. Step 6: Final answer
    x = 650,640.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.