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Finding the Third Proportional to 401,493 and 891,558

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Solution

The third proportional to 401,493 and 891,558 is: 1,979,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,493 : 891,558 = 891,558 : x
  2. Step 2: Convert to fraction form
    401,493/891,558 = 891,558/x
  3. Step 3: Cross multiply
    401,493x = 891,558 × 891,558
  4. Step 4: Simplify right side
    401,493x = 794,875,667,364
  5. Step 5: Solve for x
    x = 794,875,667,364/401,493
  6. Step 6: Final answer
    x = 1,979,799.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.