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Finding the Third Proportional to 166,716 and 218,970

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Solution

The third proportional to 166,716 and 218,970 is: 287,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,716 : 218,970 = 218,970 : x
  2. Step 2: Convert to fraction form
    166,716/218,970 = 218,970/x
  3. Step 3: Cross multiply
    166,716x = 218,970 × 218,970
  4. Step 4: Simplify right side
    166,716x = 47,947,860,900
  5. Step 5: Solve for x
    x = 47,947,860,900/166,716
  6. Step 6: Final answer
    x = 287,602.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.