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Finding the Third Proportional to 276,824.25 and 427,503.66

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Solution

The third proportional to 276,824.25 and 427,503.66 is: 660,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,824.25 : 427,503.66 = 427,503.66 : x
  2. Step 2: Convert to fraction form
    276,824.25/427,503.66 = 427,503.66/x
  3. Step 3: Cross multiply
    276,824.25x = 427,503.66 × 427,503.66
  4. Step 4: Simplify right side
    276,824.25x = 182,759,376,107.12
  5. Step 5: Solve for x
    x = 182,759,376,107.12/276,824.25
  6. Step 6: Final answer
    x = 660,200.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.