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Finding the Third Proportional to 74,270 and 121,921

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Solution

The third proportional to 74,270 and 121,921 is: 200,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,270 : 121,921 = 121,921 : x
  2. Step 2: Convert to fraction form
    74,270/121,921 = 121,921/x
  3. Step 3: Cross multiply
    74,270x = 121,921 × 121,921
  4. Step 4: Simplify right side
    74,270x = 14,864,730,241
  5. Step 5: Solve for x
    x = 14,864,730,241/74,270
  6. Step 6: Final answer
    x = 200,144.48

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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.