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Finding the Third Proportional to 120,970 and 188,079

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Solution

The third proportional to 120,970 and 188,079 is: 292,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970 : 188,079 = 188,079 : x
  2. Step 2: Convert to fraction form
    120,970/188,079 = 188,079/x
  3. Step 3: Cross multiply
    120,970x = 188,079 × 188,079
  4. Step 4: Simplify right side
    120,970x = 35,373,710,241
  5. Step 5: Solve for x
    x = 35,373,710,241/120,970
  6. Step 6: Final answer
    x = 292,417.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.