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Finding the Third Proportional to 74,274 and 121,927

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Solution

The third proportional to 74,274 and 121,927 is: 200,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,274 : 121,927 = 121,927 : x
  2. Step 2: Convert to fraction form
    74,274/121,927 = 121,927/x
  3. Step 3: Cross multiply
    74,274x = 121,927 × 121,927
  4. Step 4: Simplify right side
    74,274x = 14,866,193,329
  5. Step 5: Solve for x
    x = 14,866,193,329/74,274
  6. Step 6: Final answer
    x = 200,153.40

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.