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Finding the Third Proportional to 121,230 and 263,196

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Solution

The third proportional to 121,230 and 263,196 is: 571,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,230 : 263,196 = 263,196 : x
  2. Step 2: Convert to fraction form
    121,230/263,196 = 263,196/x
  3. Step 3: Cross multiply
    121,230x = 263,196 × 263,196
  4. Step 4: Simplify right side
    121,230x = 69,272,134,416
  5. Step 5: Solve for x
    x = 69,272,134,416/121,230
  6. Step 6: Final answer
    x = 571,410.83

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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.