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Finding the Third Proportional to 420,741 and 925,605

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Solution

The third proportional to 420,741 and 925,605 is: 2,036,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,741 : 925,605 = 925,605 : x
  2. Step 2: Convert to fraction form
    420,741/925,605 = 925,605/x
  3. Step 3: Cross multiply
    420,741x = 925,605 × 925,605
  4. Step 4: Simplify right side
    420,741x = 856,744,616,025
  5. Step 5: Solve for x
    x = 856,744,616,025/420,741
  6. Step 6: Final answer
    x = 2,036,275.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.