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Finding the Third Proportional to 121,182 and 248,240

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Solution

The third proportional to 121,182 and 248,240 is: 508,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,182 : 248,240 = 248,240 : x
  2. Step 2: Convert to fraction form
    121,182/248,240 = 248,240/x
  3. Step 3: Cross multiply
    121,182x = 248,240 × 248,240
  4. Step 4: Simplify right side
    121,182x = 61,623,097,600
  5. Step 5: Solve for x
    x = 61,623,097,600/121,182
  6. Step 6: Final answer
    x = 508,516.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.