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Finding the Third Proportional to 74,680 and 156,274

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Solution

The third proportional to 74,680 and 156,274 is: 327,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,680 : 156,274 = 156,274 : x
  2. Step 2: Convert to fraction form
    74,680/156,274 = 156,274/x
  3. Step 3: Cross multiply
    74,680x = 156,274 × 156,274
  4. Step 4: Simplify right side
    74,680x = 24,421,563,076
  5. Step 5: Solve for x
    x = 24,421,563,076/74,680
  6. Step 6: Final answer
    x = 327,016.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.