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Finding the Third Proportional to 420,816 and 918,744

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Solution

The third proportional to 420,816 and 918,744 is: 2,005,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,816 : 918,744 = 918,744 : x
  2. Step 2: Convert to fraction form
    420,816/918,744 = 918,744/x
  3. Step 3: Cross multiply
    420,816x = 918,744 × 918,744
  4. Step 4: Simplify right side
    420,816x = 844,090,537,536
  5. Step 5: Solve for x
    x = 844,090,537,536/420,816
  6. Step 6: Final answer
    x = 2,005,842.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.