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Finding the Third Proportional to 273,041 and 427,385

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Solution

The third proportional to 273,041 and 427,385 is: 668,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,041 : 427,385 = 427,385 : x
  2. Step 2: Convert to fraction form
    273,041/427,385 = 427,385/x
  3. Step 3: Cross multiply
    273,041x = 427,385 × 427,385
  4. Step 4: Simplify right side
    273,041x = 182,657,938,225
  5. Step 5: Solve for x
    x = 182,657,938,225/273,041
  6. Step 6: Final answer
    x = 668,976.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.