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Finding the Third Proportional to 420,723 and 925,558

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Solution

The third proportional to 420,723 and 925,558 is: 2,036,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,723 : 925,558 = 925,558 : x
  2. Step 2: Convert to fraction form
    420,723/925,558 = 925,558/x
  3. Step 3: Cross multiply
    420,723x = 925,558 × 925,558
  4. Step 4: Simplify right side
    420,723x = 856,657,611,364
  5. Step 5: Solve for x
    x = 856,657,611,364/420,723
  6. Step 6: Final answer
    x = 2,036,155.88

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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.