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Finding the Third Proportional to 401,090 and 891,837

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Solution

The third proportional to 401,090 and 891,837 is: 1,983,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,090 : 891,837 = 891,837 : x
  2. Step 2: Convert to fraction form
    401,090/891,837 = 891,837/x
  3. Step 3: Cross multiply
    401,090x = 891,837 × 891,837
  4. Step 4: Simplify right side
    401,090x = 795,373,234,569
  5. Step 5: Solve for x
    x = 795,373,234,569/401,090
  6. Step 6: Final answer
    x = 1,983,029.33

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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.