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Finding the Third Proportional to 420,072 and 921,796

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Solution

The third proportional to 420,072 and 921,796 is: 2,022,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,072 : 921,796 = 921,796 : x
  2. Step 2: Convert to fraction form
    420,072/921,796 = 921,796/x
  3. Step 3: Cross multiply
    420,072x = 921,796 × 921,796
  4. Step 4: Simplify right side
    420,072x = 849,707,865,616
  5. Step 5: Solve for x
    x = 849,707,865,616/420,072
  6. Step 6: Final answer
    x = 2,022,767.21

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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.