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Finding the Third Proportional to 401,508 and 891,588

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Solution

The third proportional to 401,508 and 891,588 is: 1,979,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,508 : 891,588 = 891,588 : x
  2. Step 2: Convert to fraction form
    401,508/891,588 = 891,588/x
  3. Step 3: Cross multiply
    401,508x = 891,588 × 891,588
  4. Step 4: Simplify right side
    401,508x = 794,929,161,744
  5. Step 5: Solve for x
    x = 794,929,161,744/401,508
  6. Step 6: Final answer
    x = 1,979,858.84

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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.