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Finding the Third Proportional to 395,129.25 and 856,690.13

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Solution

The third proportional to 395,129.25 and 856,690.13 is: 1,857,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,129.25 : 856,690.13 = 856,690.13 : x
  2. Step 2: Convert to fraction form
    395,129.25/856,690.13 = 856,690.13/x
  3. Step 3: Cross multiply
    395,129.25x = 856,690.13 × 856,690.13
  4. Step 4: Simplify right side
    395,129.25x = 733,917,970,272.52
  5. Step 5: Solve for x
    x = 733,917,970,272.52/395,129.25
  6. Step 6: Final answer
    x = 1,857,412.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.