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Finding the Third Proportional to 431,129.25 and 889,930.13

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Solution

The third proportional to 431,129.25 and 889,930.13 is: 1,836,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,129.25 : 889,930.13 = 889,930.13 : x
  2. Step 2: Convert to fraction form
    431,129.25/889,930.13 = 889,930.13/x
  3. Step 3: Cross multiply
    431,129.25x = 889,930.13 × 889,930.13
  4. Step 4: Simplify right side
    431,129.25x = 791,975,627,382.52
  5. Step 5: Solve for x
    x = 791,975,627,382.52/431,129.25
  6. Step 6: Final answer
    x = 1,836,979.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.