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Finding the Third Proportional to 401,045 and 891,745

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Solution

The third proportional to 401,045 and 891,745 is: 1,982,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,045 : 891,745 = 891,745 : x
  2. Step 2: Convert to fraction form
    401,045/891,745 = 891,745/x
  3. Step 3: Cross multiply
    401,045x = 891,745 × 891,745
  4. Step 4: Simplify right side
    401,045x = 795,209,145,025
  5. Step 5: Solve for x
    x = 795,209,145,025/401,045
  6. Step 6: Final answer
    x = 1,982,842.69

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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.