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Finding the Third Proportional to 420,021 and 921,708

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Solution

The third proportional to 420,021 and 921,708 is: 2,022,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,021 : 921,708 = 921,708 : x
  2. Step 2: Convert to fraction form
    420,021/921,708 = 921,708/x
  3. Step 3: Cross multiply
    420,021x = 921,708 × 921,708
  4. Step 4: Simplify right side
    420,021x = 849,545,637,264
  5. Step 5: Solve for x
    x = 849,545,637,264/420,021
  6. Step 6: Final answer
    x = 2,022,626.58

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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.