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Finding the Third Proportional to 72,791 and 157,075

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Solution

The third proportional to 72,791 and 157,075 is: 338,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,791 : 157,075 = 157,075 : x
  2. Step 2: Convert to fraction form
    72,791/157,075 = 157,075/x
  3. Step 3: Cross multiply
    72,791x = 157,075 × 157,075
  4. Step 4: Simplify right side
    72,791x = 24,672,555,625
  5. Step 5: Solve for x
    x = 24,672,555,625/72,791
  6. Step 6: Final answer
    x = 338,950.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.