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Finding the Third Proportional to 121,262 and 263,260

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Solution

The third proportional to 121,262 and 263,260 is: 571,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,262 : 263,260 = 263,260 : x
  2. Step 2: Convert to fraction form
    121,262/263,260 = 263,260/x
  3. Step 3: Cross multiply
    121,262x = 263,260 × 263,260
  4. Step 4: Simplify right side
    121,262x = 69,305,827,600
  5. Step 5: Solve for x
    x = 69,305,827,600/121,262
  6. Step 6: Final answer
    x = 571,537.89

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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.