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Finding the Third Proportional to 211,275 and 327,638.25

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Solution

The third proportional to 211,275 and 327,638.25 is: 508,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,275 : 327,638.25 = 327,638.25 : x
  2. Step 2: Convert to fraction form
    211,275/327,638.25 = 327,638.25/x
  3. Step 3: Cross multiply
    211,275x = 327,638.25 × 327,638.25
  4. Step 4: Simplify right side
    211,275x = 107,346,822,863.06
  5. Step 5: Solve for x
    x = 107,346,822,863.06/211,275
  6. Step 6: Final answer
    x = 508,090.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.