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Finding the Third Proportional to 276,113 and 603,921

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Solution

The third proportional to 276,113 and 603,921 is: 1,320,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,113 : 603,921 = 603,921 : x
  2. Step 2: Convert to fraction form
    276,113/603,921 = 603,921/x
  3. Step 3: Cross multiply
    276,113x = 603,921 × 603,921
  4. Step 4: Simplify right side
    276,113x = 364,720,574,241
  5. Step 5: Solve for x
    x = 364,720,574,241/276,113
  6. Step 6: Final answer
    x = 1,320,910.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.