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Finding the Third Proportional to 420,104 and 921,842

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Solution

The third proportional to 420,104 and 921,842 is: 2,022,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,104 : 921,842 = 921,842 : x
  2. Step 2: Convert to fraction form
    420,104/921,842 = 921,842/x
  3. Step 3: Cross multiply
    420,104x = 921,842 × 921,842
  4. Step 4: Simplify right side
    420,104x = 849,792,672,964
  5. Step 5: Solve for x
    x = 849,792,672,964/420,104
  6. Step 6: Final answer
    x = 2,022,815.00

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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.