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Finding the Third Proportional to 72,840 and 159,948

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Solution

The third proportional to 72,840 and 159,948 is: 351,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,840 : 159,948 = 159,948 : x
  2. Step 2: Convert to fraction form
    72,840/159,948 = 159,948/x
  3. Step 3: Cross multiply
    72,840x = 159,948 × 159,948
  4. Step 4: Simplify right side
    72,840x = 25,583,362,704
  5. Step 5: Solve for x
    x = 25,583,362,704/72,840
  6. Step 6: Final answer
    x = 351,226.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.