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Finding the Third Proportional to 112,940 and 166,280

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Solution

The third proportional to 112,940 and 166,280 is: 244,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,940 : 166,280 = 166,280 : x
  2. Step 2: Convert to fraction form
    112,940/166,280 = 166,280/x
  3. Step 3: Cross multiply
    112,940x = 166,280 × 166,280
  4. Step 4: Simplify right side
    112,940x = 27,649,038,400
  5. Step 5: Solve for x
    x = 27,649,038,400/112,940
  6. Step 6: Final answer
    x = 244,811.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.