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Finding the Third Proportional to 420,056 and 921,766

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Solution

The third proportional to 420,056 and 921,766 is: 2,022,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,056 : 921,766 = 921,766 : x
  2. Step 2: Convert to fraction form
    420,056/921,766 = 921,766/x
  3. Step 3: Cross multiply
    420,056x = 921,766 × 921,766
  4. Step 4: Simplify right side
    420,056x = 849,652,558,756
  5. Step 5: Solve for x
    x = 849,652,558,756/420,056
  6. Step 6: Final answer
    x = 2,022,712.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.