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Finding the Third Proportional to 420,812 and 905,776

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Solution

The third proportional to 420,812 and 905,776 is: 1,949,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,812 : 905,776 = 905,776 : x
  2. Step 2: Convert to fraction form
    420,812/905,776 = 905,776/x
  3. Step 3: Cross multiply
    420,812x = 905,776 × 905,776
  4. Step 4: Simplify right side
    420,812x = 820,430,162,176
  5. Step 5: Solve for x
    x = 820,430,162,176/420,812
  6. Step 6: Final answer
    x = 1,949,635.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.