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Finding the Third Proportional to 138,275 and 295,504

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Solution

The third proportional to 138,275 and 295,504 is: 631,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,275 : 295,504 = 295,504 : x
  2. Step 2: Convert to fraction form
    138,275/295,504 = 295,504/x
  3. Step 3: Cross multiply
    138,275x = 295,504 × 295,504
  4. Step 4: Simplify right side
    138,275x = 87,322,614,016
  5. Step 5: Solve for x
    x = 87,322,614,016/138,275
  6. Step 6: Final answer
    x = 631,514.11

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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.