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Finding the Third Proportional to 420,910 and 894,400

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Solution

The third proportional to 420,910 and 894,400 is: 1,900,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,910 : 894,400 = 894,400 : x
  2. Step 2: Convert to fraction form
    420,910/894,400 = 894,400/x
  3. Step 3: Cross multiply
    420,910x = 894,400 × 894,400
  4. Step 4: Simplify right side
    420,910x = 799,951,360,000
  5. Step 5: Solve for x
    x = 799,951,360,000/420,910
  6. Step 6: Final answer
    x = 1,900,528.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.