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Finding the Third Proportional to 401,373 and 550,392

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Solution

The third proportional to 401,373 and 550,392 is: 754,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,373 : 550,392 = 550,392 : x
  2. Step 2: Convert to fraction form
    401,373/550,392 = 550,392/x
  3. Step 3: Cross multiply
    401,373x = 550,392 × 550,392
  4. Step 4: Simplify right side
    401,373x = 302,931,353,664
  5. Step 5: Solve for x
    x = 302,931,353,664/401,373
  6. Step 6: Final answer
    x = 754,737.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.