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Finding the Third Proportional to 72,989 and 110,006

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Solution

The third proportional to 72,989 and 110,006 is: 165,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,989 : 110,006 = 110,006 : x
  2. Step 2: Convert to fraction form
    72,989/110,006 = 110,006/x
  3. Step 3: Cross multiply
    72,989x = 110,006 × 110,006
  4. Step 4: Simplify right side
    72,989x = 12,101,320,036
  5. Step 5: Solve for x
    x = 12,101,320,036/72,989
  6. Step 6: Final answer
    x = 165,796.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.