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Finding the Third Proportional to 53,689 and 121,299

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Solution

The third proportional to 53,689 and 121,299 is: 274,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,689 : 121,299 = 121,299 : x
  2. Step 2: Convert to fraction form
    53,689/121,299 = 121,299/x
  3. Step 3: Cross multiply
    53,689x = 121,299 × 121,299
  4. Step 4: Simplify right side
    53,689x = 14,713,447,401
  5. Step 5: Solve for x
    x = 14,713,447,401/53,689
  6. Step 6: Final answer
    x = 274,049.57

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.