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Finding the Third Proportional to 420,060 and 921,771

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Solution

The third proportional to 420,060 and 921,771 is: 2,022,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,060 : 921,771 = 921,771 : x
  2. Step 2: Convert to fraction form
    420,060/921,771 = 921,771/x
  3. Step 3: Cross multiply
    420,060x = 921,771 × 921,771
  4. Step 4: Simplify right side
    420,060x = 849,661,776,441
  5. Step 5: Solve for x
    x = 849,661,776,441/420,060
  6. Step 6: Final answer
    x = 2,022,715.27

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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.