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Finding the Third Proportional to 69,260 and 149,571

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Solution

The third proportional to 69,260 and 149,571 is: 323,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,260 : 149,571 = 149,571 : x
  2. Step 2: Convert to fraction form
    69,260/149,571 = 149,571/x
  3. Step 3: Cross multiply
    69,260x = 149,571 × 149,571
  4. Step 4: Simplify right side
    69,260x = 22,371,484,041
  5. Step 5: Solve for x
    x = 22,371,484,041/69,260
  6. Step 6: Final answer
    x = 323,007.28

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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.