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Finding the Third Proportional to 424,631 and 928,021

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Solution

The third proportional to 424,631 and 928,021 is: 2,028,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,631 : 928,021 = 928,021 : x
  2. Step 2: Convert to fraction form
    424,631/928,021 = 928,021/x
  3. Step 3: Cross multiply
    424,631x = 928,021 × 928,021
  4. Step 4: Simplify right side
    424,631x = 861,222,976,441
  5. Step 5: Solve for x
    x = 861,222,976,441/424,631
  6. Step 6: Final answer
    x = 2,028,167.93

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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.