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Finding the Third Proportional to 414,489 and 907,893

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Solution

The third proportional to 414,489 and 907,893 is: 1,988,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,489 : 907,893 = 907,893 : x
  2. Step 2: Convert to fraction form
    414,489/907,893 = 907,893/x
  3. Step 3: Cross multiply
    414,489x = 907,893 × 907,893
  4. Step 4: Simplify right side
    414,489x = 824,269,699,449
  5. Step 5: Solve for x
    x = 824,269,699,449/414,489
  6. Step 6: Final answer
    x = 1,988,640.71

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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.