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Finding the Third Proportional to 420,125 and 921,884

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Solution

The third proportional to 420,125 and 921,884 is: 2,022,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,125 : 921,884 = 921,884 : x
  2. Step 2: Convert to fraction form
    420,125/921,884 = 921,884/x
  3. Step 3: Cross multiply
    420,125x = 921,884 × 921,884
  4. Step 4: Simplify right side
    420,125x = 849,870,109,456
  5. Step 5: Solve for x
    x = 849,870,109,456/420,125
  6. Step 6: Final answer
    x = 2,022,898.21

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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.