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Finding the Third Proportional to 121,246 and 263,476

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Solution

The third proportional to 121,246 and 263,476 is: 572,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,246 : 263,476 = 263,476 : x
  2. Step 2: Convert to fraction form
    121,246/263,476 = 263,476/x
  3. Step 3: Cross multiply
    121,246x = 263,476 × 263,476
  4. Step 4: Simplify right side
    121,246x = 69,419,602,576
  5. Step 5: Solve for x
    x = 69,419,602,576/121,246
  6. Step 6: Final answer
    x = 572,551.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.