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Finding the Third Proportional to 276,625.50 and 427,216.50

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Solution

The third proportional to 276,625.50 and 427,216.50 is: 659,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,625.50 : 427,216.50 = 427,216.50 : x
  2. Step 2: Convert to fraction form
    276,625.50/427,216.50 = 427,216.50/x
  3. Step 3: Cross multiply
    276,625.50x = 427,216.50 × 427,216.50
  4. Step 4: Simplify right side
    276,625.50x = 182,513,937,872.25
  5. Step 5: Solve for x
    x = 182,513,937,872.25/276,625.50
  6. Step 6: Final answer
    x = 659,787.11

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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.