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Finding the Third Proportional to 69,138.50 and 150,791

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Solution

The third proportional to 69,138.50 and 150,791 is: 328,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.50 : 150,791 = 150,791 : x
  2. Step 2: Convert to fraction form
    69,138.50/150,791 = 150,791/x
  3. Step 3: Cross multiply
    69,138.50x = 150,791 × 150,791
  4. Step 4: Simplify right side
    69,138.50x = 22,737,925,681
  5. Step 5: Solve for x
    x = 22,737,925,681/69,138.50
  6. Step 6: Final answer
    x = 328,875.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.