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Finding the Third Proportional to 72,774 and 159,075

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Solution

The third proportional to 72,774 and 159,075 is: 347,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,774 : 159,075 = 159,075 : x
  2. Step 2: Convert to fraction form
    72,774/159,075 = 159,075/x
  3. Step 3: Cross multiply
    72,774x = 159,075 × 159,075
  4. Step 4: Simplify right side
    72,774x = 25,304,855,625
  5. Step 5: Solve for x
    x = 25,304,855,625/72,774
  6. Step 6: Final answer
    x = 347,718.36

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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.