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Finding the Third Proportional to 120,186.25 and 256,462

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Solution

The third proportional to 120,186.25 and 256,462 is: 547,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,186.25 : 256,462 = 256,462 : x
  2. Step 2: Convert to fraction form
    120,186.25/256,462 = 256,462/x
  3. Step 3: Cross multiply
    120,186.25x = 256,462 × 256,462
  4. Step 4: Simplify right side
    120,186.25x = 65,772,757,444
  5. Step 5: Solve for x
    x = 65,772,757,444/120,186.25
  6. Step 6: Final answer
    x = 547,256.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.