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Finding the Third Proportional to 72,269 and 102,715

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Solution

The third proportional to 72,269 and 102,715 is: 145,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,269 : 102,715 = 102,715 : x
  2. Step 2: Convert to fraction form
    72,269/102,715 = 102,715/x
  3. Step 3: Cross multiply
    72,269x = 102,715 × 102,715
  4. Step 4: Simplify right side
    72,269x = 10,550,371,225
  5. Step 5: Solve for x
    x = 10,550,371,225/72,269
  6. Step 6: Final answer
    x = 145,987.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.