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Finding the Third Proportional to 420,906.38 and 894,391.88

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Solution

The third proportional to 420,906.38 and 894,391.88 is: 1,900,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,906.38 : 894,391.88 = 894,391.88 : x
  2. Step 2: Convert to fraction form
    420,906.38/894,391.88 = 894,391.88/x
  3. Step 3: Cross multiply
    420,906.38x = 894,391.88 × 894,391.88
  4. Step 4: Simplify right side
    420,906.38x = 799,936,826,066.02
  5. Step 5: Solve for x
    x = 799,936,826,066.02/420,906.38
  6. Step 6: Final answer
    x = 1,900,510.12

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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.