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Finding the Third Proportional to 72,787 and 159,115

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Solution

The third proportional to 72,787 and 159,115 is: 347,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,787 : 159,115 = 159,115 : x
  2. Step 2: Convert to fraction form
    72,787/159,115 = 159,115/x
  3. Step 3: Cross multiply
    72,787x = 159,115 × 159,115
  4. Step 4: Simplify right side
    72,787x = 25,317,583,225
  5. Step 5: Solve for x
    x = 25,317,583,225/72,787
  6. Step 6: Final answer
    x = 347,831.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.