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Finding the Third Proportional to 165,936.75 and 390,054.75

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Solution

The third proportional to 165,936.75 and 390,054.75 is: 916,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,936.75 : 390,054.75 = 390,054.75 : x
  2. Step 2: Convert to fraction form
    165,936.75/390,054.75 = 390,054.75/x
  3. Step 3: Cross multiply
    165,936.75x = 390,054.75 × 390,054.75
  4. Step 4: Simplify right side
    165,936.75x = 152,142,707,997.56
  5. Step 5: Solve for x
    x = 152,142,707,997.56/165,936.75
  6. Step 6: Final answer
    x = 916,871.69

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.