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Finding the Third Proportional to 420,102 and 921,849

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Solution

The third proportional to 420,102 and 921,849 is: 2,022,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,102 : 921,849 = 921,849 : x
  2. Step 2: Convert to fraction form
    420,102/921,849 = 921,849/x
  3. Step 3: Cross multiply
    420,102x = 921,849 × 921,849
  4. Step 4: Simplify right side
    420,102x = 849,805,578,801
  5. Step 5: Solve for x
    x = 849,805,578,801/420,102
  6. Step 6: Final answer
    x = 2,022,855.35

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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.