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Finding the Third Proportional to 273,258 and 382,121

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Solution

The third proportional to 273,258 and 382,121 is: 534,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,258 : 382,121 = 382,121 : x
  2. Step 2: Convert to fraction form
    273,258/382,121 = 382,121/x
  3. Step 3: Cross multiply
    273,258x = 382,121 × 382,121
  4. Step 4: Simplify right side
    273,258x = 146,016,458,641
  5. Step 5: Solve for x
    x = 146,016,458,641/273,258
  6. Step 6: Final answer
    x = 534,353.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.