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Finding the Third Proportional to 273,076 and 423,990

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Solution

The third proportional to 273,076 and 423,990 is: 658,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,076 : 423,990 = 423,990 : x
  2. Step 2: Convert to fraction form
    273,076/423,990 = 423,990/x
  3. Step 3: Cross multiply
    273,076x = 423,990 × 423,990
  4. Step 4: Simplify right side
    273,076x = 179,767,520,100
  5. Step 5: Solve for x
    x = 179,767,520,100/273,076
  6. Step 6: Final answer
    x = 658,305.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.