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Finding the Third Proportional to 409,314.94 and 874,739.25

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Solution

The third proportional to 409,314.94 and 874,739.25 is: 1,869,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,314.94 : 874,739.25 = 874,739.25 : x
  2. Step 2: Convert to fraction form
    409,314.94/874,739.25 = 874,739.25/x
  3. Step 3: Cross multiply
    409,314.94x = 874,739.25 × 874,739.25
  4. Step 4: Simplify right side
    409,314.94x = 765,168,755,490.56
  5. Step 5: Solve for x
    x = 765,168,755,490.56/409,314.94
  6. Step 6: Final answer
    x = 1,869,388.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.