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Finding the Third Proportional to 420,084 and 921,816

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Solution

The third proportional to 420,084 and 921,816 is: 2,022,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,084 : 921,816 = 921,816 : x
  2. Step 2: Convert to fraction form
    420,084/921,816 = 921,816/x
  3. Step 3: Cross multiply
    420,084x = 921,816 × 921,816
  4. Step 4: Simplify right side
    420,084x = 849,744,737,856
  5. Step 5: Solve for x
    x = 849,744,737,856/420,084
  6. Step 6: Final answer
    x = 2,022,797.20

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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.