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Finding the Third Proportional to 72,969 and 159,777

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Solution

The third proportional to 72,969 and 159,777 is: 349,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,969 : 159,777 = 159,777 : x
  2. Step 2: Convert to fraction form
    72,969/159,777 = 159,777/x
  3. Step 3: Cross multiply
    72,969x = 159,777 × 159,777
  4. Step 4: Simplify right side
    72,969x = 25,528,689,729
  5. Step 5: Solve for x
    x = 25,528,689,729/72,969
  6. Step 6: Final answer
    x = 349,856.65

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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.