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Finding the Third Proportional to 120,888 and 169,938

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Solution

The third proportional to 120,888 and 169,938 is: 238,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,888 : 169,938 = 169,938 : x
  2. Step 2: Convert to fraction form
    120,888/169,938 = 169,938/x
  3. Step 3: Cross multiply
    120,888x = 169,938 × 169,938
  4. Step 4: Simplify right side
    120,888x = 28,878,923,844
  5. Step 5: Solve for x
    x = 28,878,923,844/120,888
  6. Step 6: Final answer
    x = 238,889.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.