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Finding the Third Proportional to 53,766 and 121,406

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Solution

The third proportional to 53,766 and 121,406 is: 274,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,766 : 121,406 = 121,406 : x
  2. Step 2: Convert to fraction form
    53,766/121,406 = 121,406/x
  3. Step 3: Cross multiply
    53,766x = 121,406 × 121,406
  4. Step 4: Simplify right side
    53,766x = 14,739,416,836
  5. Step 5: Solve for x
    x = 14,739,416,836/53,766
  6. Step 6: Final answer
    x = 274,140.10

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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.