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Finding the Third Proportional to 72,942 and 110,169

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Solution

The third proportional to 72,942 and 110,169 is: 166,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,942 : 110,169 = 110,169 : x
  2. Step 2: Convert to fraction form
    72,942/110,169 = 110,169/x
  3. Step 3: Cross multiply
    72,942x = 110,169 × 110,169
  4. Step 4: Simplify right side
    72,942x = 12,137,208,561
  5. Step 5: Solve for x
    x = 12,137,208,561/72,942
  6. Step 6: Final answer
    x = 166,395.34

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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.