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Finding the Third Proportional to 72,218 and 108,129

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Solution

The third proportional to 72,218 and 108,129 is: 161,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,218 : 108,129 = 108,129 : x
  2. Step 2: Convert to fraction form
    72,218/108,129 = 108,129/x
  3. Step 3: Cross multiply
    72,218x = 108,129 × 108,129
  4. Step 4: Simplify right side
    72,218x = 11,691,880,641
  5. Step 5: Solve for x
    x = 11,691,880,641/72,218
  6. Step 6: Final answer
    x = 161,897.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.