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Finding the Third Proportional to 273,417.75 and 427,401

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Solution

The third proportional to 273,417.75 and 427,401 is: 668,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,417.75 : 427,401 = 427,401 : x
  2. Step 2: Convert to fraction form
    273,417.75/427,401 = 427,401/x
  3. Step 3: Cross multiply
    273,417.75x = 427,401 × 427,401
  4. Step 4: Simplify right side
    273,417.75x = 182,671,614,801
  5. Step 5: Solve for x
    x = 182,671,614,801/273,417.75
  6. Step 6: Final answer
    x = 668,104.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.