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Finding the Third Proportional to 118,786 and 252,148

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Solution

The third proportional to 118,786 and 252,148 is: 535,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,786 : 252,148 = 252,148 : x
  2. Step 2: Convert to fraction form
    118,786/252,148 = 252,148/x
  3. Step 3: Cross multiply
    118,786x = 252,148 × 252,148
  4. Step 4: Simplify right side
    118,786x = 63,578,613,904
  5. Step 5: Solve for x
    x = 63,578,613,904/118,786
  6. Step 6: Final answer
    x = 535,236.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.