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Finding the Third Proportional to 420,724 and 925,561

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Solution

The third proportional to 420,724 and 925,561 is: 2,036,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,724 : 925,561 = 925,561 : x
  2. Step 2: Convert to fraction form
    420,724/925,561 = 925,561/x
  3. Step 3: Cross multiply
    420,724x = 925,561 × 925,561
  4. Step 4: Simplify right side
    420,724x = 856,663,164,721
  5. Step 5: Solve for x
    x = 856,663,164,721/420,724
  6. Step 6: Final answer
    x = 2,036,164.24

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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.