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Finding the Third Proportional to 121,514 and 261,655

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Solution

The third proportional to 121,514 and 261,655 is: 563,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,514 : 261,655 = 261,655 : x
  2. Step 2: Convert to fraction form
    121,514/261,655 = 261,655/x
  3. Step 3: Cross multiply
    121,514x = 261,655 × 261,655
  4. Step 4: Simplify right side
    121,514x = 68,463,339,025
  5. Step 5: Solve for x
    x = 68,463,339,025/121,514
  6. Step 6: Final answer
    x = 563,419.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.