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Finding the Third Proportional to 121,272 and 247,476

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Solution

The third proportional to 121,272 and 247,476 is: 505,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,272 : 247,476 = 247,476 : x
  2. Step 2: Convert to fraction form
    121,272/247,476 = 247,476/x
  3. Step 3: Cross multiply
    121,272x = 247,476 × 247,476
  4. Step 4: Simplify right side
    121,272x = 61,244,370,576
  5. Step 5: Solve for x
    x = 61,244,370,576/121,272
  6. Step 6: Final answer
    x = 505,016.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.