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Finding the Third Proportional to 401,771 and 891,654

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Solution

The third proportional to 401,771 and 891,654 is: 1,978,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,771 : 891,654 = 891,654 : x
  2. Step 2: Convert to fraction form
    401,771/891,654 = 891,654/x
  3. Step 3: Cross multiply
    401,771x = 891,654 × 891,654
  4. Step 4: Simplify right side
    401,771x = 795,046,855,716
  5. Step 5: Solve for x
    x = 795,046,855,716/401,771
  6. Step 6: Final answer
    x = 1,978,855.76

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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.