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Finding the Third Proportional to 121,186 and 263,380

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Solution

The third proportional to 121,186 and 263,380 is: 572,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,186 : 263,380 = 263,380 : x
  2. Step 2: Convert to fraction form
    121,186/263,380 = 263,380/x
  3. Step 3: Cross multiply
    121,186x = 263,380 × 263,380
  4. Step 4: Simplify right side
    121,186x = 69,369,024,400
  5. Step 5: Solve for x
    x = 69,369,024,400/121,186
  6. Step 6: Final answer
    x = 572,417.81

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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.