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Finding the Third Proportional to 273,073 and 423,987

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Solution

The third proportional to 273,073 and 423,987 is: 658,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,073 : 423,987 = 423,987 : x
  2. Step 2: Convert to fraction form
    273,073/423,987 = 423,987/x
  3. Step 3: Cross multiply
    273,073x = 423,987 × 423,987
  4. Step 4: Simplify right side
    273,073x = 179,764,976,169
  5. Step 5: Solve for x
    x = 179,764,976,169/273,073
  6. Step 6: Final answer
    x = 658,303.74

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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.